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Finding the Fourth Proportional to 9,510.12, 14,198.45 and 8,577

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Solution

The fourth proportional to 9,510.12, 14,198.45 and 8,577 is: 12,805.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,510.12 : 14,198.45 = 8,577 : x
  2. Step 2: Convert to fraction form
    9,510.12/14,198.45 = 8,577/x
  3. Step 3: Cross multiply
    9,510.12x = 14,198.45 × 8,577
  4. Step 4: Simplify right side
    9,510.12x = 121,780,062.77
  5. Step 5: Solve for x
    x = 121,780,062.77/9,510.12
  6. Step 6: Final answer
    x = 12,805.31

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.