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Finding the Fourth Proportional to 10,613.54, 15,923.01 and 4,990.11

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Solution

The fourth proportional to 10,613.54, 15,923.01 and 4,990.11 is: 7,486.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,613.54 : 15,923.01 = 4,990.11 : x
  2. Step 2: Convert to fraction form
    10,613.54/15,923.01 = 4,990.11/x
  3. Step 3: Cross multiply
    10,613.54x = 15,923.01 × 4,990.11
  4. Step 4: Simplify right side
    10,613.54x = 79,457,571.43
  5. Step 5: Solve for x
    x = 79,457,571.43/10,613.54
  6. Step 6: Final answer
    x = 7,486.44

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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.