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Finding the Fourth Proportional to 10,758.42, 14,845.05 and 6,042.42

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Solution

The fourth proportional to 10,758.42, 14,845.05 and 6,042.42 is: 8,337.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,758.42 : 14,845.05 = 6,042.42 : x
  2. Step 2: Convert to fraction form
    10,758.42/14,845.05 = 6,042.42/x
  3. Step 3: Cross multiply
    10,758.42x = 14,845.05 × 6,042.42
  4. Step 4: Simplify right side
    10,758.42x = 89,700,027.02
  5. Step 5: Solve for x
    x = 89,700,027.02/10,758.42
  6. Step 6: Final answer
    x = 8,337.66

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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.