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Finding the Fourth Proportional to 10,892.80, 16,355.40 and 8,430.40

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Solution

The fourth proportional to 10,892.80, 16,355.40 and 8,430.40 is: 12,658.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,892.80 : 16,355.40 = 8,430.40 : x
  2. Step 2: Convert to fraction form
    10,892.80/16,355.40 = 8,430.40/x
  3. Step 3: Cross multiply
    10,892.80x = 16,355.40 × 8,430.40
  4. Step 4: Simplify right side
    10,892.80x = 137,882,564.16
  5. Step 5: Solve for x
    x = 137,882,564.16/10,892.80
  6. Step 6: Final answer
    x = 12,658.14

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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.