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Finding the Fourth Proportional to 13,197.84, 18,207.84 and 7,531.08

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Solution

The fourth proportional to 13,197.84, 18,207.84 and 7,531.08 is: 10,389.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,197.84 : 18,207.84 = 7,531.08 : x
  2. Step 2: Convert to fraction form
    13,197.84/18,207.84 = 7,531.08/x
  3. Step 3: Cross multiply
    13,197.84x = 18,207.84 × 7,531.08
  4. Step 4: Simplify right side
    13,197.84x = 137,124,699.67
  5. Step 5: Solve for x
    x = 137,124,699.67/13,197.84
  6. Step 6: Final answer
    x = 10,389.93

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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.