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Finding the Fourth Proportional to 9,063.88, 13,587.10 and 4,957

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Solution

The fourth proportional to 9,063.88, 13,587.10 and 4,957 is: 7,430.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,063.88 : 13,587.10 = 4,957 : x
  2. Step 2: Convert to fraction form
    9,063.88/13,587.10 = 4,957/x
  3. Step 3: Cross multiply
    9,063.88x = 13,587.10 × 4,957
  4. Step 4: Simplify right side
    9,063.88x = 67,351,254.70
  5. Step 5: Solve for x
    x = 67,351,254.70/9,063.88
  6. Step 6: Final answer
    x = 7,430.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.