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Finding the Fourth Proportional to 10,397.64, 15,600.12 and 6,497.52

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Solution

The fourth proportional to 10,397.64, 15,600.12 and 6,497.52 is: 9,748.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,397.64 : 15,600.12 = 6,497.52 : x
  2. Step 2: Convert to fraction form
    10,397.64/15,600.12 = 6,497.52/x
  3. Step 3: Cross multiply
    10,397.64x = 15,600.12 × 6,497.52
  4. Step 4: Simplify right side
    10,397.64x = 101,362,091.70
  5. Step 5: Solve for x
    x = 101,362,091.70/10,397.64
  6. Step 6: Final answer
    x = 9,748.57

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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.