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Finding the Fourth Proportional to 12,323.68, 17,006.04 and 7,018.48

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Solution

The fourth proportional to 12,323.68, 17,006.04 and 7,018.48 is: 9,685.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,323.68 : 17,006.04 = 7,018.48 : x
  2. Step 2: Convert to fraction form
    12,323.68/17,006.04 = 7,018.48/x
  3. Step 3: Cross multiply
    12,323.68x = 17,006.04 × 7,018.48
  4. Step 4: Simplify right side
    12,323.68x = 119,356,551.62
  5. Step 5: Solve for x
    x = 119,356,551.62/12,323.68
  6. Step 6: Final answer
    x = 9,685.14

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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.