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Finding the Fourth Proportional to 9,472.86, 13,070.55 and 6,826.14

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Solution

The fourth proportional to 9,472.86, 13,070.55 and 6,826.14 is: 9,418.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,472.86 : 13,070.55 = 6,826.14 : x
  2. Step 2: Convert to fraction form
    9,472.86/13,070.55 = 6,826.14/x
  3. Step 3: Cross multiply
    9,472.86x = 13,070.55 × 6,826.14
  4. Step 4: Simplify right side
    9,472.86x = 89,221,404.18
  5. Step 5: Solve for x
    x = 89,221,404.18/9,472.86
  6. Step 6: Final answer
    x = 9,418.63

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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.