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Finding the Fourth Proportional to 10,489.77, 14,475.83 and 5,773.77

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Solution

The fourth proportional to 10,489.77, 14,475.83 and 5,773.77 is: 7,967.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,489.77 : 14,475.83 = 5,773.77 : x
  2. Step 2: Convert to fraction form
    10,489.77/14,475.83 = 5,773.77/x
  3. Step 3: Cross multiply
    10,489.77x = 14,475.83 × 5,773.77
  4. Step 4: Simplify right side
    10,489.77x = 83,580,084.11
  5. Step 5: Solve for x
    x = 83,580,084.11/10,489.77
  6. Step 6: Final answer
    x = 7,967.77

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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.