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Finding the Fourth Proportional to 13,158.75, 18,159.63 and 7,569.75

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Solution

The fourth proportional to 13,158.75, 18,159.63 and 7,569.75 is: 10,446.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,158.75 : 18,159.63 = 7,569.75 : x
  2. Step 2: Convert to fraction form
    13,158.75/18,159.63 = 7,569.75/x
  3. Step 3: Cross multiply
    13,158.75x = 18,159.63 × 7,569.75
  4. Step 4: Simplify right side
    13,158.75x = 137,463,859.19
  5. Step 5: Solve for x
    x = 137,463,859.19/13,158.75
  6. Step 6: Final answer
    x = 10,446.57

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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.