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Finding the Fourth Proportional to 12,101.50, 16,700.16 and 7,069.24

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Solution

The fourth proportional to 12,101.50, 16,700.16 and 7,069.24 is: 9,755.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,101.50 : 16,700.16 = 7,069.24 : x
  2. Step 2: Convert to fraction form
    12,101.50/16,700.16 = 7,069.24/x
  3. Step 3: Cross multiply
    12,101.50x = 16,700.16 × 7,069.24
  4. Step 4: Simplify right side
    12,101.50x = 118,057,439.08
  5. Step 5: Solve for x
    x = 118,057,439.08/12,101.50
  6. Step 6: Final answer
    x = 9,755.60

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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.