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Finding the Fourth Proportional to 7,882.86, 10,878.14 and 4,346.10

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Solution

The fourth proportional to 7,882.86, 10,878.14 and 4,346.10 is: 5,997.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,882.86 : 10,878.14 = 4,346.10 : x
  2. Step 2: Convert to fraction form
    7,882.86/10,878.14 = 4,346.10/x
  3. Step 3: Cross multiply
    7,882.86x = 10,878.14 × 4,346.10
  4. Step 4: Simplify right side
    7,882.86x = 47,277,484.25
  5. Step 5: Solve for x
    x = 47,277,484.25/7,882.86
  6. Step 6: Final answer
    x = 5,997.50

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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.