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Finding the Fourth Proportional to 10,497.60, 14,434.20 and 10,060.20

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Solution

The fourth proportional to 10,497.60, 14,434.20 and 10,060.20 is: 13,832.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,497.60 : 14,434.20 = 10,060.20 : x
  2. Step 2: Convert to fraction form
    10,497.60/14,434.20 = 10,060.20/x
  3. Step 3: Cross multiply
    10,497.60x = 14,434.20 × 10,060.20
  4. Step 4: Simplify right side
    10,497.60x = 145,210,938.84
  5. Step 5: Solve for x
    x = 145,210,938.84/10,497.60
  6. Step 6: Final answer
    x = 13,832.78

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.