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Finding the Fourth Proportional to 4,822.64, 7,222.16 and 4,355.17

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Solution

The fourth proportional to 4,822.64, 7,222.16 and 4,355.17 is: 6,522.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,822.64 : 7,222.16 = 4,355.17 : x
  2. Step 2: Convert to fraction form
    4,822.64/7,222.16 = 4,355.17/x
  3. Step 3: Cross multiply
    4,822.64x = 7,222.16 × 4,355.17
  4. Step 4: Simplify right side
    4,822.64x = 31,453,716.51
  5. Step 5: Solve for x
    x = 31,453,716.51/4,822.64
  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 (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.