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Finding the Fourth Proportional to 6,371.84, 9,548.46 and 4,526.54

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Solution

The fourth proportional to 6,371.84, 9,548.46 and 4,526.54 is: 6,783.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,371.84 : 9,548.46 = 4,526.54 : x
  2. Step 2: Convert to fraction form
    6,371.84/9,548.46 = 4,526.54/x
  3. Step 3: Cross multiply
    6,371.84x = 9,548.46 × 4,526.54
  4. Step 4: Simplify right side
    6,371.84x = 43,221,486.13
  5. Step 5: Solve for x
    x = 43,221,486.13/6,371.84
  6. Step 6: Final answer
    x = 6,783.20

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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.