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Finding the Fourth Proportional to 10,264.68, 15,291.09 and 9,627.24

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Solution

The fourth proportional to 10,264.68, 15,291.09 and 9,627.24 is: 14,341.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,264.68 : 15,291.09 = 9,627.24 : x
  2. Step 2: Convert to fraction form
    10,264.68/15,291.09 = 9,627.24/x
  3. Step 3: Cross multiply
    10,264.68x = 15,291.09 × 9,627.24
  4. Step 4: Simplify right side
    10,264.68x = 147,210,993.29
  5. Step 5: Solve for x
    x = 147,210,993.29/10,264.68
  6. Step 6: Final answer
    x = 14,341.51

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.