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Finding the Fourth Proportional to 9,983.40, 14,975.10 and 9,497.40

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Solution

The fourth proportional to 9,983.40, 14,975.10 and 9,497.40 is: 14,246.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,983.40 : 14,975.10 = 9,497.40 : x
  2. Step 2: Convert to fraction form
    9,983.40/14,975.10 = 9,497.40/x
  3. Step 3: Cross multiply
    9,983.40x = 14,975.10 × 9,497.40
  4. Step 4: Simplify right side
    9,983.40x = 142,224,514.74
  5. Step 5: Solve for x
    x = 142,224,514.74/9,983.40
  6. Step 6: Final answer
    x = 14,246.10

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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.