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Finding the Fourth Proportional to 15,152.57, 22,734.33 and 7,760.51

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Solution

The fourth proportional to 15,152.57, 22,734.33 and 7,760.51 is: 11,643.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,152.57 : 22,734.33 = 7,760.51 : x
  2. Step 2: Convert to fraction form
    15,152.57/22,734.33 = 7,760.51/x
  3. Step 3: Cross multiply
    15,152.57x = 22,734.33 × 7,760.51
  4. Step 4: Simplify right side
    15,152.57x = 176,429,995.31
  5. Step 5: Solve for x
    x = 176,429,995.31/15,152.57
  6. Step 6: Final answer
    x = 11,643.57

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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.