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Finding the Fourth Proportional to 10,001.60, 14,973.60 and 9,713.60

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Solution

The fourth proportional to 10,001.60, 14,973.60 and 9,713.60 is: 14,542.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,001.60 : 14,973.60 = 9,713.60 : x
  2. Step 2: Convert to fraction form
    10,001.60/14,973.60 = 9,713.60/x
  3. Step 3: Cross multiply
    10,001.60x = 14,973.60 × 9,713.60
  4. Step 4: Simplify right side
    10,001.60x = 145,447,560.96
  5. Step 5: Solve for x
    x = 145,447,560.96/10,001.60
  6. Step 6: Final answer
    x = 14,542.43

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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.