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Finding the Fourth Proportional to 12,357.70, 17,053.47 and 6,692.29

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Solution

The fourth proportional to 12,357.70, 17,053.47 and 6,692.29 is: 9,235.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,357.70 : 17,053.47 = 6,692.29 : x
  2. Step 2: Convert to fraction form
    12,357.70/17,053.47 = 6,692.29/x
  3. Step 3: Cross multiply
    12,357.70x = 17,053.47 × 6,692.29
  4. Step 4: Simplify right side
    12,357.70x = 114,126,724.11
  5. Step 5: Solve for x
    x = 114,126,724.11/12,357.70
  6. Step 6: Final answer
    x = 9,235.27

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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.