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Finding the Fourth Proportional to 12,509.66, 17,259.14 and 7,204.37

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Solution

The fourth proportional to 12,509.66, 17,259.14 and 7,204.37 is: 9,939.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,509.66 : 17,259.14 = 7,204.37 : x
  2. Step 2: Convert to fraction form
    12,509.66/17,259.14 = 7,204.37/x
  3. Step 3: Cross multiply
    12,509.66x = 17,259.14 × 7,204.37
  4. Step 4: Simplify right side
    12,509.66x = 124,341,162.16
  5. Step 5: Solve for x
    x = 124,341,162.16/12,509.66
  6. Step 6: Final answer
    x = 9,939.61

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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.