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Finding the Fourth Proportional to 25,309.76, 37,965.64 and 9,513.20

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Solution

The fourth proportional to 25,309.76, 37,965.64 and 9,513.20 is: 14,270.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,309.76 : 37,965.64 = 9,513.20 : x
  2. Step 2: Convert to fraction form
    25,309.76/37,965.64 = 9,513.20/x
  3. Step 3: Cross multiply
    25,309.76x = 37,965.64 × 9,513.20
  4. Step 4: Simplify right side
    25,309.76x = 361,174,726.45
  5. Step 5: Solve for x
    x = 361,174,726.45/25,309.76
  6. Step 6: Final answer
    x = 14,270.18

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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.