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Finding the Fourth Proportional to 7,301.70, 10,964.70 and 4,017.15

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Solution

The fourth proportional to 7,301.70, 10,964.70 and 4,017.15 is: 6,032.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,301.70 : 10,964.70 = 4,017.15 : x
  2. Step 2: Convert to fraction form
    7,301.70/10,964.70 = 4,017.15/x
  3. Step 3: Cross multiply
    7,301.70x = 10,964.70 × 4,017.15
  4. Step 4: Simplify right side
    7,301.70x = 44,046,844.61
  5. Step 5: Solve for x
    x = 44,046,844.61/7,301.70
  6. Step 6: Final answer
    x = 6,032.41

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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.