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Finding the Fourth Proportional to 12,008.52, 16,571.64 and 6,703.20

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Solution

The fourth proportional to 12,008.52, 16,571.64 and 6,703.20 is: 9,250.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,008.52 : 16,571.64 = 6,703.20 : x
  2. Step 2: Convert to fraction form
    12,008.52/16,571.64 = 6,703.20/x
  3. Step 3: Cross multiply
    12,008.52x = 16,571.64 × 6,703.20
  4. Step 4: Simplify right side
    12,008.52x = 111,083,017.25
  5. Step 5: Solve for x
    x = 111,083,017.25/12,008.52
  6. Step 6: Final answer
    x = 9,250.35

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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.