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Finding the Fourth Proportional to 6,839.04, 9,443.64 and 4,187.30

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Solution

The fourth proportional to 6,839.04, 9,443.64 and 4,187.30 is: 5,782.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,839.04 : 9,443.64 = 4,187.30 : x
  2. Step 2: Convert to fraction form
    6,839.04/9,443.64 = 4,187.30/x
  3. Step 3: Cross multiply
    6,839.04x = 9,443.64 × 4,187.30
  4. Step 4: Simplify right side
    6,839.04x = 39,543,353.77
  5. Step 5: Solve for x
    x = 39,543,353.77/6,839.04
  6. Step 6: Final answer
    x = 5,782.00

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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.