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Finding the Fourth Proportional to 25,295.81, 37,947.82 and 9,502.07

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Solution

The fourth proportional to 25,295.81, 37,947.82 and 9,502.07 is: 14,254.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,295.81 : 37,947.82 = 9,502.07 : x
  2. Step 2: Convert to fraction form
    25,295.81/37,947.82 = 9,502.07/x
  3. Step 3: Cross multiply
    25,295.81x = 37,947.82 × 9,502.07
  4. Step 4: Simplify right side
    25,295.81x = 360,582,841.99
  5. Step 5: Solve for x
    x = 360,582,841.99/25,295.81
  6. Step 6: Final answer
    x = 14,254.65

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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.