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Finding the Fourth Proportional to 7,237.64, 9,992.30 and 4,724.10

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Solution

The fourth proportional to 7,237.64, 9,992.30 and 4,724.10 is: 6,522.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,237.64 : 9,992.30 = 4,724.10 : x
  2. Step 2: Convert to fraction form
    7,237.64/9,992.30 = 4,724.10/x
  3. Step 3: Cross multiply
    7,237.64x = 9,992.30 × 4,724.10
  4. Step 4: Simplify right side
    7,237.64x = 47,204,600.81
  5. Step 5: Solve for x
    x = 47,204,600.81/7,237.64
  6. Step 6: Final answer
    x = 6,522.10

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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.