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Finding the Fourth Proportional to 23,648.28, 35,472.42 and 8,065.50

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Solution

The fourth proportional to 23,648.28, 35,472.42 and 8,065.50 is: 12,098.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,648.28 : 35,472.42 = 8,065.50 : x
  2. Step 2: Convert to fraction form
    23,648.28/35,472.42 = 8,065.50/x
  3. Step 3: Cross multiply
    23,648.28x = 35,472.42 × 8,065.50
  4. Step 4: Simplify right side
    23,648.28x = 286,102,803.51
  5. Step 5: Solve for x
    x = 286,102,803.51/23,648.28
  6. Step 6: Final answer
    x = 12,098.25

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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.