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Finding the Fourth Proportional to 9,743.40, 14,615.10 and 3,506.40

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Solution

The fourth proportional to 9,743.40, 14,615.10 and 3,506.40 is: 5,259.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,743.40 : 14,615.10 = 3,506.40 : x
  2. Step 2: Convert to fraction form
    9,743.40/14,615.10 = 3,506.40/x
  3. Step 3: Cross multiply
    9,743.40x = 14,615.10 × 3,506.40
  4. Step 4: Simplify right side
    9,743.40x = 51,246,386.64
  5. Step 5: Solve for x
    x = 51,246,386.64/9,743.40
  6. Step 6: Final answer
    x = 5,259.60

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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.