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Finding the Fourth Proportional to 6,374, 9,560.93 and 4,492.16

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Solution

The fourth proportional to 6,374, 9,560.93 and 4,492.16 is: 6,738.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,374 : 9,560.93 = 4,492.16 : x
  2. Step 2: Convert to fraction form
    6,374/9,560.93 = 4,492.16/x
  3. Step 3: Cross multiply
    6,374x = 9,560.93 × 4,492.16
  4. Step 4: Simplify right side
    6,374x = 42,949,204.85
  5. Step 5: Solve for x
    x = 42,949,204.85/6,374
  6. Step 6: Final answer
    x = 6,738.19

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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.