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Finding the Fourth Proportional to 10,699.68, 16,048.80 and 3,774.08

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Solution

The fourth proportional to 10,699.68, 16,048.80 and 3,774.08 is: 5,660.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,699.68 : 16,048.80 = 3,774.08 : x
  2. Step 2: Convert to fraction form
    10,699.68/16,048.80 = 3,774.08/x
  3. Step 3: Cross multiply
    10,699.68x = 16,048.80 × 3,774.08
  4. Step 4: Simplify right side
    10,699.68x = 60,569,455.10
  5. Step 5: Solve for x
    x = 60,569,455.10/10,699.68
  6. Step 6: Final answer
    x = 5,660.87

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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.