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Finding the Fourth Proportional to 7,857.32, 10,842.80 and 4,320.32

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Solution

The fourth proportional to 7,857.32, 10,842.80 and 4,320.32 is: 5,961.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,857.32 : 10,842.80 = 4,320.32 : x
  2. Step 2: Convert to fraction form
    7,857.32/10,842.80 = 4,320.32/x
  3. Step 3: Cross multiply
    7,857.32x = 10,842.80 × 4,320.32
  4. Step 4: Simplify right side
    7,857.32x = 46,844,365.70
  5. Step 5: Solve for x
    x = 46,844,365.70/7,857.32
  6. Step 6: Final answer
    x = 5,961.88

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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.