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Finding the Fourth Proportional to 8,964.76, 13,434.06 and 5,049.16

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Solution

The fourth proportional to 8,964.76, 13,434.06 and 5,049.16 is: 7,566.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,964.76 : 13,434.06 = 5,049.16 : x
  2. Step 2: Convert to fraction form
    8,964.76/13,434.06 = 5,049.16/x
  3. Step 3: Cross multiply
    8,964.76x = 13,434.06 × 5,049.16
  4. Step 4: Simplify right side
    8,964.76x = 67,830,718.39
  5. Step 5: Solve for x
    x = 67,830,718.39/8,964.76
  6. Step 6: Final answer
    x = 7,566.37

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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.