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Finding the Fourth Proportional to 9,615.40, 14,423.10 and 8,157.40

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Solution

The fourth proportional to 9,615.40, 14,423.10 and 8,157.40 is: 12,236.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,615.40 : 14,423.10 = 8,157.40 : x
  2. Step 2: Convert to fraction form
    9,615.40/14,423.10 = 8,157.40/x
  3. Step 3: Cross multiply
    9,615.40x = 14,423.10 × 8,157.40
  4. Step 4: Simplify right side
    9,615.40x = 117,654,995.94
  5. Step 5: Solve for x
    x = 117,654,995.94/9,615.40
  6. Step 6: Final answer
    x = 12,236.10

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.