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Finding the Fourth Proportional to 12,357.70, 17,053.53 and 6,692.31

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Solution

The fourth proportional to 12,357.70, 17,053.53 and 6,692.31 is: 9,235.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,357.70 : 17,053.53 = 6,692.31 : x
  2. Step 2: Convert to fraction form
    12,357.70/17,053.53 = 6,692.31/x
  3. Step 3: Cross multiply
    12,357.70x = 17,053.53 × 6,692.31
  4. Step 4: Simplify right side
    12,357.70x = 114,127,573.31
  5. Step 5: Solve for x
    x = 114,127,573.31/12,357.70
  6. Step 6: Final answer
    x = 9,235.34

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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.