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Finding the Fourth Proportional to 10,788.87, 14,880.97 and 7,202.02

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Solution

The fourth proportional to 10,788.87, 14,880.97 and 7,202.02 is: 9,933.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,788.87 : 14,880.97 = 7,202.02 : x
  2. Step 2: Convert to fraction form
    10,788.87/14,880.97 = 7,202.02/x
  3. Step 3: Cross multiply
    10,788.87x = 14,880.97 × 7,202.02
  4. Step 4: Simplify right side
    10,788.87x = 107,172,988.35
  5. Step 5: Solve for x
    x = 107,172,988.35/10,788.87
  6. Step 6: Final answer
    x = 9,933.66

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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.