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Finding the Fourth Proportional to 8,373.64, 11,555.99 and 5,017

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Solution

The fourth proportional to 8,373.64, 11,555.99 and 5,017 is: 6,923.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,373.64 : 11,555.99 = 5,017 : x
  2. Step 2: Convert to fraction form
    8,373.64/11,555.99 = 5,017/x
  3. Step 3: Cross multiply
    8,373.64x = 11,555.99 × 5,017
  4. Step 4: Simplify right side
    8,373.64x = 57,976,401.83
  5. Step 5: Solve for x
    x = 57,976,401.83/8,373.64
  6. Step 6: Final answer
    x = 6,923.68

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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.