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Finding the Fourth Proportional to 5,597.64, 7,724.16 and 4,023

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Solution

The fourth proportional to 5,597.64, 7,724.16 and 4,023 is: 5,551.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,597.64 : 7,724.16 = 4,023 : x
  2. Step 2: Convert to fraction form
    5,597.64/7,724.16 = 4,023/x
  3. Step 3: Cross multiply
    5,597.64x = 7,724.16 × 4,023
  4. Step 4: Simplify right side
    5,597.64x = 31,074,295.68
  5. Step 5: Solve for x
    x = 31,074,295.68/5,597.64
  6. Step 6: Final answer
    x = 5,551.32

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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.