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Finding the Fourth Proportional to 9,851.85, 14,761.08 and 5,948.07

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Solution

The fourth proportional to 9,851.85, 14,761.08 and 5,948.07 is: 8,912.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,851.85 : 14,761.08 = 5,948.07 : x
  2. Step 2: Convert to fraction form
    9,851.85/14,761.08 = 5,948.07/x
  3. Step 3: Cross multiply
    9,851.85x = 14,761.08 × 5,948.07
  4. Step 4: Simplify right side
    9,851.85x = 87,799,937.12
  5. Step 5: Solve for x
    x = 87,799,937.12/9,851.85
  6. Step 6: Final answer
    x = 8,912.03

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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.