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Finding the Fourth Proportional to 27,298.58, 40,947.89 and 7,577.16

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Solution

The fourth proportional to 27,298.58, 40,947.89 and 7,577.16 is: 11,365.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,298.58 : 40,947.89 = 7,577.16 : x
  2. Step 2: Convert to fraction form
    27,298.58/40,947.89 = 7,577.16/x
  3. Step 3: Cross multiply
    27,298.58x = 40,947.89 × 7,577.16
  4. Step 4: Simplify right side
    27,298.58x = 310,268,633.61
  5. Step 5: Solve for x
    x = 310,268,633.61/27,298.58
  6. Step 6: Final answer
    x = 11,365.74

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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.