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Finding the Fourth Proportional to 4,663.60, 6,964.70 and 4,049.20

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Solution

The fourth proportional to 4,663.60, 6,964.70 and 4,049.20 is: 6,047.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,663.60 : 6,964.70 = 4,049.20 : x
  2. Step 2: Convert to fraction form
    4,663.60/6,964.70 = 4,049.20/x
  3. Step 3: Cross multiply
    4,663.60x = 6,964.70 × 4,049.20
  4. Step 4: Simplify right side
    4,663.60x = 28,201,463.24
  5. Step 5: Solve for x
    x = 28,201,463.24/4,663.60
  6. Step 6: Final answer
    x = 6,047.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.