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Finding the Fourth Proportional to 10,123.84, 15,187.96 and 4,932.64

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Solution

The fourth proportional to 10,123.84, 15,187.96 and 4,932.64 is: 7,400.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,123.84 : 15,187.96 = 4,932.64 : x
  2. Step 2: Convert to fraction form
    10,123.84/15,187.96 = 4,932.64/x
  3. Step 3: Cross multiply
    10,123.84x = 15,187.96 × 4,932.64
  4. Step 4: Simplify right side
    10,123.84x = 74,916,739.01
  5. Step 5: Solve for x
    x = 74,916,739.01/10,123.84
  6. Step 6: Final answer
    x = 7,400.03

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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.