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Finding the Fourth Proportional to 8,537.81, 12,808.33 and 4,844.21

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Solution

The fourth proportional to 8,537.81, 12,808.33 and 4,844.21 is: 7,267.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,537.81 : 12,808.33 = 4,844.21 : x
  2. Step 2: Convert to fraction form
    8,537.81/12,808.33 = 4,844.21/x
  3. Step 3: Cross multiply
    8,537.81x = 12,808.33 × 4,844.21
  4. Step 4: Simplify right side
    8,537.81x = 62,046,164.12
  5. Step 5: Solve for x
    x = 62,046,164.12/8,537.81
  6. Step 6: Final answer
    x = 7,267.23

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.