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Finding the Fourth Proportional to 4,802.24, 7,206.24 and 1,724.48

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Solution

The fourth proportional to 4,802.24, 7,206.24 and 1,724.48 is: 2,587.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,802.24 : 7,206.24 = 1,724.48 : x
  2. Step 2: Convert to fraction form
    4,802.24/7,206.24 = 1,724.48/x
  3. Step 3: Cross multiply
    4,802.24x = 7,206.24 × 1,724.48
  4. Step 4: Simplify right side
    4,802.24x = 12,427,016.76
  5. Step 5: Solve for x
    x = 12,427,016.76/4,802.24
  6. Step 6: Final answer
    x = 2,587.75

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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.