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Finding the Fourth Proportional to 9,187.84, 12,675.84 and 5,877.76

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Solution

The fourth proportional to 9,187.84, 12,675.84 and 5,877.76 is: 8,109.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,187.84 : 12,675.84 = 5,877.76 : x
  2. Step 2: Convert to fraction form
    9,187.84/12,675.84 = 5,877.76/x
  3. Step 3: Cross multiply
    9,187.84x = 12,675.84 × 5,877.76
  4. Step 4: Simplify right side
    9,187.84x = 74,505,545.32
  5. Step 5: Solve for x
    x = 74,505,545.32/9,187.84
  6. Step 6: Final answer
    x = 8,109.15

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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.