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Finding the Fourth Proportional to 26,567.61, 39,842.03 and 7,842.63

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Solution

The fourth proportional to 26,567.61, 39,842.03 and 7,842.63 is: 11,761.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,567.61 : 39,842.03 = 7,842.63 : x
  2. Step 2: Convert to fraction form
    26,567.61/39,842.03 = 7,842.63/x
  3. Step 3: Cross multiply
    26,567.61x = 39,842.03 × 7,842.63
  4. Step 4: Simplify right side
    26,567.61x = 312,466,260.53
  5. Step 5: Solve for x
    x = 312,466,260.53/26,567.61
  6. Step 6: Final answer
    x = 11,761.17

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.