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Finding the Fourth Proportional to 9,964.22, 13,750.76 and 5,488.16

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Solution

The fourth proportional to 9,964.22, 13,750.76 and 5,488.16 is: 7,573.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,964.22 : 13,750.76 = 5,488.16 : x
  2. Step 2: Convert to fraction form
    9,964.22/13,750.76 = 5,488.16/x
  3. Step 3: Cross multiply
    9,964.22x = 13,750.76 × 5,488.16
  4. Step 4: Simplify right side
    9,964.22x = 75,466,315.97
  5. Step 5: Solve for x
    x = 75,466,315.97/9,964.22
  6. Step 6: Final answer
    x = 7,573.73

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.