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Finding the Fourth Proportional to 10,404.68, 14,358.44 and 6,678.68

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Solution

The fourth proportional to 10,404.68, 14,358.44 and 6,678.68 is: 9,216.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,404.68 : 14,358.44 = 6,678.68 : x
  2. Step 2: Convert to fraction form
    10,404.68/14,358.44 = 6,678.68/x
  3. Step 3: Cross multiply
    10,404.68x = 14,358.44 × 6,678.68
  4. Step 4: Simplify right side
    10,404.68x = 95,895,426.06
  5. Step 5: Solve for x
    x = 95,895,426.06/10,404.68
  6. Step 6: Final answer
    x = 9,216.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.