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Finding the Fourth Proportional to 10,803.92, 14,909.28 and 6,089

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Solution

The fourth proportional to 10,803.92, 14,909.28 and 6,089 is: 8,402.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,803.92 : 14,909.28 = 6,089 : x
  2. Step 2: Convert to fraction form
    10,803.92/14,909.28 = 6,089/x
  3. Step 3: Cross multiply
    10,803.92x = 14,909.28 × 6,089
  4. Step 4: Simplify right side
    10,803.92x = 90,782,605.92
  5. Step 5: Solve for x
    x = 90,782,605.92/10,803.92
  6. Step 6: Final answer
    x = 8,402.75

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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.