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Finding the Fourth Proportional to 6,281.06, 8,669.06 and 4,156.62

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Solution

The fourth proportional to 6,281.06, 8,669.06 and 4,156.62 is: 5,736.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,281.06 : 8,669.06 = 4,156.62 : x
  2. Step 2: Convert to fraction form
    6,281.06/8,669.06 = 4,156.62/x
  3. Step 3: Cross multiply
    6,281.06x = 8,669.06 × 4,156.62
  4. Step 4: Simplify right side
    6,281.06x = 36,033,967.39
  5. Step 5: Solve for x
    x = 36,033,967.39/6,281.06
  6. Step 6: Final answer
    x = 5,736.93

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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.