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Finding the Fourth Proportional to 6,354.02, 9,510.32 and 5,747.78

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Solution

The fourth proportional to 6,354.02, 9,510.32 and 5,747.78 is: 8,602.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,354.02 : 9,510.32 = 5,747.78 : x
  2. Step 2: Convert to fraction form
    6,354.02/9,510.32 = 5,747.78/x
  3. Step 3: Cross multiply
    6,354.02x = 9,510.32 × 5,747.78
  4. Step 4: Simplify right side
    6,354.02x = 54,663,150.80
  5. Step 5: Solve for x
    x = 54,663,150.80/6,354.02
  6. Step 6: Final answer
    x = 8,602.93

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1.5x scale

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.