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Finding the Fourth Proportional to 10,148.08, 13,999.08 and 6,787.12

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Solution

The fourth proportional to 10,148.08, 13,999.08 and 6,787.12 is: 9,362.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,148.08 : 13,999.08 = 6,787.12 : x
  2. Step 2: Convert to fraction form
    10,148.08/13,999.08 = 6,787.12/x
  3. Step 3: Cross multiply
    10,148.08x = 13,999.08 × 6,787.12
  4. Step 4: Simplify right side
    10,148.08x = 95,013,435.85
  5. Step 5: Solve for x
    x = 95,013,435.85/10,148.08
  6. Step 6: Final answer
    x = 9,362.70

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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.