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Finding the Fourth Proportional to 12,509.17, 17,262.63 and 7,205.00

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Solution

The fourth proportional to 12,509.17, 17,262.63 and 7,205.00 is: 9,942.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,509.17 : 17,262.63 = 7,205.00 : x
  2. Step 2: Convert to fraction form
    12,509.17/17,262.63 = 7,205.00/x
  3. Step 3: Cross multiply
    12,509.17x = 17,262.63 × 7,205.00
  4. Step 4: Simplify right side
    12,509.17x = 124,377,162.84
  5. Step 5: Solve for x
    x = 124,377,162.84/12,509.17
  6. Step 6: Final answer
    x = 9,942.88

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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.