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Finding the Fourth Proportional to 7,151.98, 9,870.07 and 4,464.79

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Solution

The fourth proportional to 7,151.98, 9,870.07 and 4,464.79 is: 6,161.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,151.98 : 9,870.07 = 4,464.79 : x
  2. Step 2: Convert to fraction form
    7,151.98/9,870.07 = 4,464.79/x
  3. Step 3: Cross multiply
    7,151.98x = 9,870.07 × 4,464.79
  4. Step 4: Simplify right side
    7,151.98x = 44,067,718.16
  5. Step 5: Solve for x
    x = 44,067,718.16/7,151.98
  6. Step 6: Final answer
    x = 6,161.62

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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.