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Finding the Fourth Proportional to 6,459.57, 8,915.19 and 3,807.24

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Solution

The fourth proportional to 6,459.57, 8,915.19 and 3,807.24 is: 5,254.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,459.57 : 8,915.19 = 3,807.24 : x
  2. Step 2: Convert to fraction form
    6,459.57/8,915.19 = 3,807.24/x
  3. Step 3: Cross multiply
    6,459.57x = 8,915.19 × 3,807.24
  4. Step 4: Simplify right side
    6,459.57x = 33,942,267.98
  5. Step 5: Solve for x
    x = 33,942,267.98/6,459.57
  6. Step 6: Final answer
    x = 5,254.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.