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Finding the Fourth Proportional to 4,332.88, 6,497.80 and 1,410.44

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Solution

The fourth proportional to 4,332.88, 6,497.80 and 1,410.44 is: 2,115.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,332.88 : 6,497.80 = 1,410.44 : x
  2. Step 2: Convert to fraction form
    4,332.88/6,497.80 = 1,410.44/x
  3. Step 3: Cross multiply
    4,332.88x = 6,497.80 × 1,410.44
  4. Step 4: Simplify right side
    4,332.88x = 9,164,757.03
  5. Step 5: Solve for x
    x = 9,164,757.03/4,332.88
  6. Step 6: Final answer
    x = 2,115.17

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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.