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Finding the Fourth Proportional to 7,842.61, 10,822.98 and 4,305.88

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Solution

The fourth proportional to 7,842.61, 10,822.98 and 4,305.88 is: 5,942.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,842.61 : 10,822.98 = 4,305.88 : x
  2. Step 2: Convert to fraction form
    7,842.61/10,822.98 = 4,305.88/x
  3. Step 3: Cross multiply
    7,842.61x = 10,822.98 × 4,305.88
  4. Step 4: Simplify right side
    7,842.61x = 46,602,453.12
  5. Step 5: Solve for x
    x = 46,602,453.12/7,842.61
  6. Step 6: Final answer
    x = 5,942.21

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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.