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Finding the Fourth Proportional to 8,341.74, 11,506.98 and 5,354.22

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Solution

The fourth proportional to 8,341.74, 11,506.98 and 5,354.22 is: 7,385.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,341.74 : 11,506.98 = 5,354.22 : x
  2. Step 2: Convert to fraction form
    8,341.74/11,506.98 = 5,354.22/x
  3. Step 3: Cross multiply
    8,341.74x = 11,506.98 × 5,354.22
  4. Step 4: Simplify right side
    8,341.74x = 61,610,902.46
  5. Step 5: Solve for x
    x = 61,610,902.46/8,341.74
  6. Step 6: Final answer
    x = 7,385.86

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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.