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Finding the Fourth Proportional to 14,894.16, 20,555 and 9,849.62

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Solution

The fourth proportional to 14,894.16, 20,555 and 9,849.62 is: 13,593.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,894.16 : 20,555 = 9,849.62 : x
  2. Step 2: Convert to fraction form
    14,894.16/20,555 = 9,849.62/x
  3. Step 3: Cross multiply
    14,894.16x = 20,555 × 9,849.62
  4. Step 4: Simplify right side
    14,894.16x = 202,458,939.10
  5. Step 5: Solve for x
    x = 202,458,939.10/14,894.16
  6. Step 6: Final answer
    x = 13,593.18

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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.