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Finding the Fourth Proportional to 7,750.64, 11,625.96 and 5,452.40

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Solution

The fourth proportional to 7,750.64, 11,625.96 and 5,452.40 is: 8,178.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,750.64 : 11,625.96 = 5,452.40 : x
  2. Step 2: Convert to fraction form
    7,750.64/11,625.96 = 5,452.40/x
  3. Step 3: Cross multiply
    7,750.64x = 11,625.96 × 5,452.40
  4. Step 4: Simplify right side
    7,750.64x = 63,389,384.30
  5. Step 5: Solve for x
    x = 63,389,384.30/7,750.64
  6. Step 6: Final answer
    x = 8,178.60

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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.