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Finding the Fourth Proportional to 7,876.05, 10,859.84 and 6,281.45

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Solution

The fourth proportional to 7,876.05, 10,859.84 and 6,281.45 is: 8,661.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,876.05 : 10,859.84 = 6,281.45 : x
  2. Step 2: Convert to fraction form
    7,876.05/10,859.84 = 6,281.45/x
  3. Step 3: Cross multiply
    7,876.05x = 10,859.84 × 6,281.45
  4. Step 4: Simplify right side
    7,876.05x = 68,215,541.97
  5. Step 5: Solve for x
    x = 68,215,541.97/7,876.05
  6. Step 6: Final answer
    x = 8,661.14

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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.