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Finding the Fourth Proportional to 10,952.80, 16,429.20 and 6,287.20

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Solution

The fourth proportional to 10,952.80, 16,429.20 and 6,287.20 is: 9,430.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,952.80 : 16,429.20 = 6,287.20 : x
  2. Step 2: Convert to fraction form
    10,952.80/16,429.20 = 6,287.20/x
  3. Step 3: Cross multiply
    10,952.80x = 16,429.20 × 6,287.20
  4. Step 4: Simplify right side
    10,952.80x = 103,293,666.24
  5. Step 5: Solve for x
    x = 103,293,666.24/10,952.80
  6. Step 6: Final answer
    x = 9,430.80

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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.