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Finding the Fourth Proportional to 10,624.63, 15,932.32 and 5,356.39

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Solution

The fourth proportional to 10,624.63, 15,932.32 and 5,356.39 is: 8,032.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,624.63 : 15,932.32 = 5,356.39 : x
  2. Step 2: Convert to fraction form
    10,624.63/15,932.32 = 5,356.39/x
  3. Step 3: Cross multiply
    10,624.63x = 15,932.32 × 5,356.39
  4. Step 4: Simplify right side
    10,624.63x = 85,339,719.52
  5. Step 5: Solve for x
    x = 85,339,719.52/10,624.63
  6. Step 6: Final answer
    x = 8,032.25

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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.