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Finding the Fourth Proportional to 5,522.64, 7,598.64 and 4,774.16

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Solution

The fourth proportional to 5,522.64, 7,598.64 and 4,774.16 is: 6,568.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,522.64 : 7,598.64 = 4,774.16 : x
  2. Step 2: Convert to fraction form
    5,522.64/7,598.64 = 4,774.16/x
  3. Step 3: Cross multiply
    5,522.64x = 7,598.64 × 4,774.16
  4. Step 4: Simplify right side
    5,522.64x = 36,277,123.14
  5. Step 5: Solve for x
    x = 36,277,123.14/5,522.64
  6. Step 6: Final answer
    x = 6,568.80

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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.