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Finding the Fourth Proportional to 13,159.16, 18,151.15 and 7,849.88

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Solution

The fourth proportional to 13,159.16, 18,151.15 and 7,849.88 is: 10,827.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,159.16 : 18,151.15 = 7,849.88 : x
  2. Step 2: Convert to fraction form
    13,159.16/18,151.15 = 7,849.88/x
  3. Step 3: Cross multiply
    13,159.16x = 18,151.15 × 7,849.88
  4. Step 4: Simplify right side
    13,159.16x = 142,484,238.98
  5. Step 5: Solve for x
    x = 142,484,238.98/13,159.16
  6. Step 6: Final answer
    x = 10,827.77

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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.