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Finding the Fourth Proportional to 7,087.65, 9,780.71 and 3,943.77

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Solution

The fourth proportional to 7,087.65, 9,780.71 and 3,943.77 is: 5,442.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,087.65 : 9,780.71 = 3,943.77 : x
  2. Step 2: Convert to fraction form
    7,087.65/9,780.71 = 3,943.77/x
  3. Step 3: Cross multiply
    7,087.65x = 9,780.71 × 3,943.77
  4. Step 4: Simplify right side
    7,087.65x = 38,572,870.68
  5. Step 5: Solve for x
    x = 38,572,870.68/7,087.65
  6. Step 6: Final answer
    x = 5,442.27

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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.