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Finding the Fourth Proportional to 5,252.57, 7,870.64 and 4,469.35

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Solution

The fourth proportional to 5,252.57, 7,870.64 and 4,469.35 is: 6,697.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,252.57 : 7,870.64 = 4,469.35 : x
  2. Step 2: Convert to fraction form
    5,252.57/7,870.64 = 4,469.35/x
  3. Step 3: Cross multiply
    5,252.57x = 7,870.64 × 4,469.35
  4. Step 4: Simplify right side
    5,252.57x = 35,176,649.14
  5. Step 5: Solve for x
    x = 35,176,649.14/5,252.57
  6. Step 6: Final answer
    x = 6,697.04

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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.