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Finding the Fourth Proportional to 9,278.54, 13,931.69 and 8,032.98

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Solution

The fourth proportional to 9,278.54, 13,931.69 and 8,032.98 is: 12,061.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,278.54 : 13,931.69 = 8,032.98 : x
  2. Step 2: Convert to fraction form
    9,278.54/13,931.69 = 8,032.98/x
  3. Step 3: Cross multiply
    9,278.54x = 13,931.69 × 8,032.98
  4. Step 4: Simplify right side
    9,278.54x = 111,912,946.97
  5. Step 5: Solve for x
    x = 111,912,946.97/9,278.54
  6. Step 6: Final answer
    x = 12,061.49

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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.