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Finding the Fourth Proportional to 10,337.78, 14,266.04 and 5,622.08

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Solution

The fourth proportional to 10,337.78, 14,266.04 and 5,622.08 is: 7,758.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,337.78 : 14,266.04 = 5,622.08 : x
  2. Step 2: Convert to fraction form
    10,337.78/14,266.04 = 5,622.08/x
  3. Step 3: Cross multiply
    10,337.78x = 14,266.04 × 5,622.08
  4. Step 4: Simplify right side
    10,337.78x = 80,204,718.72
  5. Step 5: Solve for x
    x = 80,204,718.72/10,337.78
  6. Step 6: Final answer
    x = 7,758.41

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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.