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Finding the Fourth Proportional to 13,159.98, 18,160.82 and 7,191.74

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Solution

The fourth proportional to 13,159.98, 18,160.82 and 7,191.74 is: 9,924.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,159.98 : 18,160.82 = 7,191.74 : x
  2. Step 2: Convert to fraction form
    13,159.98/18,160.82 = 7,191.74/x
  3. Step 3: Cross multiply
    13,159.98x = 18,160.82 × 7,191.74
  4. Step 4: Simplify right side
    13,159.98x = 130,607,895.63
  5. Step 5: Solve for x
    x = 130,607,895.63/13,159.98
  6. Step 6: Final answer
    x = 9,924.63

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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.