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Finding the Fourth Proportional to 6,448.88, 9,600 and 6,146.96

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Solution

The fourth proportional to 6,448.88, 9,600 and 6,146.96 is: 9,150.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,448.88 : 9,600 = 6,146.96 : x
  2. Step 2: Convert to fraction form
    6,448.88/9,600 = 6,146.96/x
  3. Step 3: Cross multiply
    6,448.88x = 9,600 × 6,146.96
  4. Step 4: Simplify right side
    6,448.88x = 59,010,768
  5. Step 5: Solve for x
    x = 59,010,768/6,448.88
  6. Step 6: Final answer
    x = 9,150.55

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.