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Finding the Fourth Proportional to 10,051, 13,870.38 and 5,575.44

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Solution

The fourth proportional to 10,051, 13,870.38 and 5,575.44 is: 7,694.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,051 : 13,870.38 = 5,575.44 : x
  2. Step 2: Convert to fraction form
    10,051/13,870.38 = 5,575.44/x
  3. Step 3: Cross multiply
    10,051x = 13,870.38 × 5,575.44
  4. Step 4: Simplify right side
    10,051x = 77,333,471.47
  5. Step 5: Solve for x
    x = 77,333,471.47/10,051
  6. Step 6: Final answer
    x = 7,694.11

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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.