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Finding the Fourth Proportional to 23,652.70, 35,478 and 5,882.99

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Solution

The fourth proportional to 23,652.70, 35,478 and 5,882.99 is: 8,824.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,652.70 : 35,478 = 5,882.99 : x
  2. Step 2: Convert to fraction form
    23,652.70/35,478 = 5,882.99/x
  3. Step 3: Cross multiply
    23,652.70x = 35,478 × 5,882.99
  4. Step 4: Simplify right side
    23,652.70x = 208,716,541.83
  5. Step 5: Solve for x
    x = 208,716,541.83/23,652.70
  6. Step 6: Final answer
    x = 8,824.22

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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.