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Finding the Fourth Proportional to 6,211.52, 8,571.88 and 3,417

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Solution

The fourth proportional to 6,211.52, 8,571.88 and 3,417 is: 4,715.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,211.52 : 8,571.88 = 3,417 : x
  2. Step 2: Convert to fraction form
    6,211.52/8,571.88 = 3,417/x
  3. Step 3: Cross multiply
    6,211.52x = 8,571.88 × 3,417
  4. Step 4: Simplify right side
    6,211.52x = 29,290,113.96
  5. Step 5: Solve for x
    x = 29,290,113.96/6,211.52
  6. Step 6: Final answer
    x = 4,715.45

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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.