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Finding the Fourth Proportional to 5,165.57, 7,697.06 and 4,914.54

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Solution

The fourth proportional to 5,165.57, 7,697.06 and 4,914.54 is: 7,323.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,165.57 : 7,697.06 = 4,914.54 : x
  2. Step 2: Convert to fraction form
    5,165.57/7,697.06 = 4,914.54/x
  3. Step 3: Cross multiply
    5,165.57x = 7,697.06 × 4,914.54
  4. Step 4: Simplify right side
    5,165.57x = 37,827,503.11
  5. Step 5: Solve for x
    x = 37,827,503.11/5,165.57
  6. Step 6: Final answer
    x = 7,323.00

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.