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Finding the Fourth Proportional to 9,758.56, 13,466.28 and 5,780.04

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Solution

The fourth proportional to 9,758.56, 13,466.28 and 5,780.04 is: 7,976.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,758.56 : 13,466.28 = 5,780.04 : x
  2. Step 2: Convert to fraction form
    9,758.56/13,466.28 = 5,780.04/x
  3. Step 3: Cross multiply
    9,758.56x = 13,466.28 × 5,780.04
  4. Step 4: Simplify right side
    9,758.56x = 77,835,637.05
  5. Step 5: Solve for x
    x = 77,835,637.05/9,758.56
  6. Step 6: Final answer
    x = 7,976.14

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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.