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Finding the Fourth Proportional to 7,877, 10,870.26 and 4,340.22

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Solution

The fourth proportional to 7,877, 10,870.26 and 4,340.22 is: 5,989.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,877 : 10,870.26 = 4,340.22 : x
  2. Step 2: Convert to fraction form
    7,877/10,870.26 = 4,340.22/x
  3. Step 3: Cross multiply
    7,877x = 10,870.26 × 4,340.22
  4. Step 4: Simplify right side
    7,877x = 47,179,319.86
  5. Step 5: Solve for x
    x = 47,179,319.86/7,877
  6. Step 6: Final answer
    x = 5,989.50

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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.