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Finding the Fourth Proportional to 7,148.66, 10,790.42 and 7,148.66

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Solution

The fourth proportional to 7,148.66, 10,790.42 and 7,148.66 is: 10,790.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,148.66 : 10,790.42 = 7,148.66 : x
  2. Step 2: Convert to fraction form
    7,148.66/10,790.42 = 7,148.66/x
  3. Step 3: Cross multiply
    7,148.66x = 10,790.42 × 7,148.66
  4. Step 4: Simplify right side
    7,148.66x = 77,136,954.14
  5. Step 5: Solve for x
    x = 77,136,954.14/7,148.66
  6. Step 6: Final answer
    x = 10,790.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.