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Finding the Fourth Proportional to 6,497.47, 9,746.17 and 1,567.10

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Solution

The fourth proportional to 6,497.47, 9,746.17 and 1,567.10 is: 2,350.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,497.47 : 9,746.17 = 1,567.10 : x
  2. Step 2: Convert to fraction form
    6,497.47/9,746.17 = 1,567.10/x
  3. Step 3: Cross multiply
    6,497.47x = 9,746.17 × 1,567.10
  4. Step 4: Simplify right side
    6,497.47x = 15,273,197.45
  5. Step 5: Solve for x
    x = 15,273,197.45/6,497.47
  6. Step 6: Final answer
    x = 2,350.64

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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.