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Finding the Fourth Proportional to 5,165.80, 7,748.70 and 4,712.20

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Solution

The fourth proportional to 5,165.80, 7,748.70 and 4,712.20 is: 7,068.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,165.80 : 7,748.70 = 4,712.20 : x
  2. Step 2: Convert to fraction form
    5,165.80/7,748.70 = 4,712.20/x
  3. Step 3: Cross multiply
    5,165.80x = 7,748.70 × 4,712.20
  4. Step 4: Simplify right side
    5,165.80x = 36,513,424.14
  5. Step 5: Solve for x
    x = 36,513,424.14/5,165.80
  6. Step 6: Final answer
    x = 7,068.30

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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.