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Finding the Fourth Proportional to 7,883.56, 10,878.13 and 4,526.52

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Solution

The fourth proportional to 7,883.56, 10,878.13 and 4,526.52 is: 6,245.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,883.56 : 10,878.13 = 4,526.52 : x
  2. Step 2: Convert to fraction form
    7,883.56/10,878.13 = 4,526.52/x
  3. Step 3: Cross multiply
    7,883.56x = 10,878.13 × 4,526.52
  4. Step 4: Simplify right side
    7,883.56x = 49,240,037.87
  5. Step 5: Solve for x
    x = 49,240,037.87/7,883.56
  6. Step 6: Final answer
    x = 6,245.91

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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.