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Finding the Fourth Proportional to 12,323.34, 17,007.97 and 7,018.65

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Solution

The fourth proportional to 12,323.34, 17,007.97 and 7,018.65 is: 9,686.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,323.34 : 17,007.97 = 7,018.65 : x
  2. Step 2: Convert to fraction form
    12,323.34/17,007.97 = 7,018.65/x
  3. Step 3: Cross multiply
    12,323.34x = 17,007.97 × 7,018.65
  4. Step 4: Simplify right side
    12,323.34x = 119,372,988.64
  5. Step 5: Solve for x
    x = 119,372,988.64/12,323.34
  6. Step 6: Final answer
    x = 9,686.74

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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.