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Finding the Fourth Proportional to 6,355.34, 9,522.47 and 4,497.24

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Solution

The fourth proportional to 6,355.34, 9,522.47 and 4,497.24 is: 6,738.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,355.34 : 9,522.47 = 4,497.24 : x
  2. Step 2: Convert to fraction form
    6,355.34/9,522.47 = 4,497.24/x
  3. Step 3: Cross multiply
    6,355.34x = 9,522.47 × 4,497.24
  4. Step 4: Simplify right side
    6,355.34x = 42,824,810.50
  5. Step 5: Solve for x
    x = 42,824,810.50/6,355.34
  6. Step 6: Final answer
    x = 6,738.40

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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.