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Finding the Fourth Proportional to 7,856.73, 10,842.46 and 4,320.17

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Solution

The fourth proportional to 7,856.73, 10,842.46 and 4,320.17 is: 5,961.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,856.73 : 10,842.46 = 4,320.17 : x
  2. Step 2: Convert to fraction form
    7,856.73/10,842.46 = 4,320.17/x
  3. Step 3: Cross multiply
    7,856.73x = 10,842.46 × 4,320.17
  4. Step 4: Simplify right side
    7,856.73x = 46,841,246.06
  5. Step 5: Solve for x
    x = 46,841,246.06/7,856.73
  6. Step 6: Final answer
    x = 5,961.93

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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.