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Finding the Fourth Proportional to 6,209.64, 9,314.52 and 1,592.64

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Solution

The fourth proportional to 6,209.64, 9,314.52 and 1,592.64 is: 2,388.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,209.64 : 9,314.52 = 1,592.64 : x
  2. Step 2: Convert to fraction form
    6,209.64/9,314.52 = 1,592.64/x
  3. Step 3: Cross multiply
    6,209.64x = 9,314.52 × 1,592.64
  4. Step 4: Simplify right side
    6,209.64x = 14,834,677.13
  5. Step 5: Solve for x
    x = 14,834,677.13/6,209.64
  6. Step 6: Final answer
    x = 2,388.98

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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.