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Finding the Fourth Proportional to 9,758.56, 13,468.80 and 6,615.76

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Solution

The fourth proportional to 9,758.56, 13,468.80 and 6,615.76 is: 9,131.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,758.56 : 13,468.80 = 6,615.76 : x
  2. Step 2: Convert to fraction form
    9,758.56/13,468.80 = 6,615.76/x
  3. Step 3: Cross multiply
    9,758.56x = 13,468.80 × 6,615.76
  4. Step 4: Simplify right side
    9,758.56x = 89,106,348.29
  5. Step 5: Solve for x
    x = 89,106,348.29/9,758.56
  6. Step 6: Final answer
    x = 9,131.10

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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.