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Finding the Fourth Proportional to 9,781.70, 13,492.98 and 6,246.65

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Solution

The fourth proportional to 9,781.70, 13,492.98 and 6,246.65 is: 8,616.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,781.70 : 13,492.98 = 6,246.65 : x
  2. Step 2: Convert to fraction form
    9,781.70/13,492.98 = 6,246.65/x
  3. Step 3: Cross multiply
    9,781.70x = 13,492.98 × 6,246.65
  4. Step 4: Simplify right side
    9,781.70x = 84,285,957.25
  5. Step 5: Solve for x
    x = 84,285,957.25/9,781.70
  6. Step 6: Final answer
    x = 8,616.70

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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.