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Finding the Fourth Proportional to 9,958.54, 14,947.02 and 5,031.63

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Solution

The fourth proportional to 9,958.54, 14,947.02 and 5,031.63 is: 7,552.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,958.54 : 14,947.02 = 5,031.63 : x
  2. Step 2: Convert to fraction form
    9,958.54/14,947.02 = 5,031.63/x
  3. Step 3: Cross multiply
    9,958.54x = 14,947.02 × 5,031.63
  4. Step 4: Simplify right side
    9,958.54x = 75,207,874.24
  5. Step 5: Solve for x
    x = 75,207,874.24/9,958.54
  6. Step 6: Final answer
    x = 7,552.10

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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.