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Finding the Fourth Proportional to 13,187.88, 18,199.08 and 7,219.40

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Solution

The fourth proportional to 13,187.88, 18,199.08 and 7,219.40 is: 9,962.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,187.88 : 18,199.08 = 7,219.40 : x
  2. Step 2: Convert to fraction form
    13,187.88/18,199.08 = 7,219.40/x
  3. Step 3: Cross multiply
    13,187.88x = 18,199.08 × 7,219.40
  4. Step 4: Simplify right side
    13,187.88x = 131,386,347.16
  5. Step 5: Solve for x
    x = 131,386,347.16/13,187.88
  6. Step 6: Final answer
    x = 9,962.66

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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.