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Finding the Fourth Proportional to 11,341.60, 15,651 and 6,306.04

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Solution

The fourth proportional to 11,341.60, 15,651 and 6,306.04 is: 8,702.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,341.60 : 15,651 = 6,306.04 : x
  2. Step 2: Convert to fraction form
    11,341.60/15,651 = 6,306.04/x
  3. Step 3: Cross multiply
    11,341.60x = 15,651 × 6,306.04
  4. Step 4: Simplify right side
    11,341.60x = 98,695,832.04
  5. Step 5: Solve for x
    x = 98,695,832.04/11,341.60
  6. Step 6: Final answer
    x = 8,702.11

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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.