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Finding the Fourth Proportional to 10,548, 14,557.86 and 6,071.49

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Solution

The fourth proportional to 10,548, 14,557.86 and 6,071.49 is: 8,379.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,548 : 14,557.86 = 6,071.49 : x
  2. Step 2: Convert to fraction form
    10,548/14,557.86 = 6,071.49/x
  3. Step 3: Cross multiply
    10,548x = 14,557.86 × 6,071.49
  4. Step 4: Simplify right side
    10,548x = 88,387,901.41
  5. Step 5: Solve for x
    x = 88,387,901.41/10,548
  6. Step 6: Final answer
    x = 8,379.59

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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.