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Finding the Fourth Proportional to 10,497.97, 15,746.97 and 9,856.45

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Solution

The fourth proportional to 10,497.97, 15,746.97 and 9,856.45 is: 14,784.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,497.97 : 15,746.97 = 9,856.45 : x
  2. Step 2: Convert to fraction form
    10,497.97/15,746.97 = 9,856.45/x
  3. Step 3: Cross multiply
    10,497.97x = 15,746.97 × 9,856.45
  4. Step 4: Simplify right side
    10,497.97x = 155,209,279.10
  5. Step 5: Solve for x
    x = 155,209,279.10/10,497.97
  6. Step 6: Final answer
    x = 14,784.69

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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.