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Finding the Fourth Proportional to 6,354.04, 9,510.32 and 5,747.80

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Solution

The fourth proportional to 6,354.04, 9,510.32 and 5,747.80 is: 8,602.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,354.04 : 9,510.32 = 5,747.80 : x
  2. Step 2: Convert to fraction form
    6,354.04/9,510.32 = 5,747.80/x
  3. Step 3: Cross multiply
    6,354.04x = 9,510.32 × 5,747.80
  4. Step 4: Simplify right side
    6,354.04x = 54,663,417.30
  5. Step 5: Solve for x
    x = 54,663,417.30/6,354.04
  6. Step 6: Final answer
    x = 8,602.94

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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.