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Finding the Fourth Proportional to 6,557.84, 9,839.67 and 3,437.10

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Solution

The fourth proportional to 6,557.84, 9,839.67 and 3,437.10 is: 5,157.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,557.84 : 9,839.67 = 3,437.10 : x
  2. Step 2: Convert to fraction form
    6,557.84/9,839.67 = 3,437.10/x
  3. Step 3: Cross multiply
    6,557.84x = 9,839.67 × 3,437.10
  4. Step 4: Simplify right side
    6,557.84x = 33,819,929.76
  5. Step 5: Solve for x
    x = 33,819,929.76/6,557.84
  6. Step 6: Final answer
    x = 5,157.18

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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.