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Finding the Fourth Proportional to 9,597.78, 13,234.02 and 7,823.88

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Solution

The fourth proportional to 9,597.78, 13,234.02 and 7,823.88 is: 10,788.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,597.78 : 13,234.02 = 7,823.88 : x
  2. Step 2: Convert to fraction form
    9,597.78/13,234.02 = 7,823.88/x
  3. Step 3: Cross multiply
    9,597.78x = 13,234.02 × 7,823.88
  4. Step 4: Simplify right side
    9,597.78x = 103,541,384.40
  5. Step 5: Solve for x
    x = 103,541,384.40/9,597.78
  6. Step 6: Final answer
    x = 10,788.06

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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.