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Finding the Fourth Proportional to 6,368.16, 9,549 and 6,098.88

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Solution

The fourth proportional to 6,368.16, 9,549 and 6,098.88 is: 9,145.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,368.16 : 9,549 = 6,098.88 : x
  2. Step 2: Convert to fraction form
    6,368.16/9,549 = 6,098.88/x
  3. Step 3: Cross multiply
    6,368.16x = 9,549 × 6,098.88
  4. Step 4: Simplify right side
    6,368.16x = 58,238,205.12
  5. Step 5: Solve for x
    x = 58,238,205.12/6,368.16
  6. Step 6: Final answer
    x = 9,145.22

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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.