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Finding the Fourth Proportional to 6,665.68, 9,193.80 and 4,678.48

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Solution

The fourth proportional to 6,665.68, 9,193.80 and 4,678.48 is: 6,452.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,665.68 : 9,193.80 = 4,678.48 : x
  2. Step 2: Convert to fraction form
    6,665.68/9,193.80 = 4,678.48/x
  3. Step 3: Cross multiply
    6,665.68x = 9,193.80 × 4,678.48
  4. Step 4: Simplify right side
    6,665.68x = 43,013,009.42
  5. Step 5: Solve for x
    x = 43,013,009.42/6,665.68
  6. Step 6: Final answer
    x = 6,452.91

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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.