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Finding the Fourth Proportional to 12,357.74, 17,053.52 and 7,052.64

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Solution

The fourth proportional to 12,357.74, 17,053.52 and 7,052.64 is: 9,732.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,357.74 : 17,053.52 = 7,052.64 : x
  2. Step 2: Convert to fraction form
    12,357.74/17,053.52 = 7,052.64/x
  3. Step 3: Cross multiply
    12,357.74x = 17,053.52 × 7,052.64
  4. Step 4: Simplify right side
    12,357.74x = 120,272,302.03
  5. Step 5: Solve for x
    x = 120,272,302.03/12,357.74
  6. Step 6: Final answer
    x = 9,732.55

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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.