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Finding the Fourth Proportional to 12,871.60, 19,294.24 and 7,313.20

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Solution

The fourth proportional to 12,871.60, 19,294.24 and 7,313.20 is: 10,962.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,871.60 : 19,294.24 = 7,313.20 : x
  2. Step 2: Convert to fraction form
    12,871.60/19,294.24 = 7,313.20/x
  3. Step 3: Cross multiply
    12,871.60x = 19,294.24 × 7,313.20
  4. Step 4: Simplify right side
    12,871.60x = 141,102,635.97
  5. Step 5: Solve for x
    x = 141,102,635.97/12,871.60
  6. Step 6: Final answer
    x = 10,962.32

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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.