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Finding the Fourth Proportional to 12,007.46, 16,565.91 and 6,971.06

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Solution

The fourth proportional to 12,007.46, 16,565.91 and 6,971.06 is: 9,617.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,007.46 : 16,565.91 = 6,971.06 : x
  2. Step 2: Convert to fraction form
    12,007.46/16,565.91 = 6,971.06/x
  3. Step 3: Cross multiply
    12,007.46x = 16,565.91 × 6,971.06
  4. Step 4: Simplify right side
    12,007.46x = 115,481,952.56
  5. Step 5: Solve for x
    x = 115,481,952.56/12,007.46
  6. Step 6: Final answer
    x = 9,617.52

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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.