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Finding the Fourth Proportional to 10,038.66, 13,853.28 and 5,562.66

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Solution

The fourth proportional to 10,038.66, 13,853.28 and 5,562.66 is: 7,676.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,038.66 : 13,853.28 = 5,562.66 : x
  2. Step 2: Convert to fraction form
    10,038.66/13,853.28 = 5,562.66/x
  3. Step 3: Cross multiply
    10,038.66x = 13,853.28 × 5,562.66
  4. Step 4: Simplify right side
    10,038.66x = 77,061,086.52
  5. Step 5: Solve for x
    x = 77,061,086.52/10,038.66
  6. Step 6: Final answer
    x = 7,676.43

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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.