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Finding the Fourth Proportional to 6,101.70, 9,152.55 and 5,664.30

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Solution

The fourth proportional to 6,101.70, 9,152.55 and 5,664.30 is: 8,496.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,101.70 : 9,152.55 = 5,664.30 : x
  2. Step 2: Convert to fraction form
    6,101.70/9,152.55 = 5,664.30/x
  3. Step 3: Cross multiply
    6,101.70x = 9,152.55 × 5,664.30
  4. Step 4: Simplify right side
    6,101.70x = 51,842,788.97
  5. Step 5: Solve for x
    x = 51,842,788.97/6,101.70
  6. Step 6: Final answer
    x = 8,496.45

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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.