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Finding the Fourth Proportional to 7,005.60, 10,458.72 and 6,228

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Solution

The fourth proportional to 7,005.60, 10,458.72 and 6,228 is: 9,297.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,005.60 : 10,458.72 = 6,228 : x
  2. Step 2: Convert to fraction form
    7,005.60/10,458.72 = 6,228/x
  3. Step 3: Cross multiply
    7,005.60x = 10,458.72 × 6,228
  4. Step 4: Simplify right side
    7,005.60x = 65,136,908.16
  5. Step 5: Solve for x
    x = 65,136,908.16/7,005.60
  6. Step 6: Final answer
    x = 9,297.83

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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.