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Finding the Fourth Proportional to 11,560.61, 15,946.97 and 7,788.98

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Solution

The fourth proportional to 11,560.61, 15,946.97 and 7,788.98 is: 10,744.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,560.61 : 15,946.97 = 7,788.98 : x
  2. Step 2: Convert to fraction form
    11,560.61/15,946.97 = 7,788.98/x
  3. Step 3: Cross multiply
    11,560.61x = 15,946.97 × 7,788.98
  4. Step 4: Simplify right side
    11,560.61x = 124,210,630.39
  5. Step 5: Solve for x
    x = 124,210,630.39/11,560.61
  6. Step 6: Final answer
    x = 10,744.30

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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.