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Finding the Fourth Proportional to 6,522.30, 9,786.93 and 4,332.06

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Solution

The fourth proportional to 6,522.30, 9,786.93 and 4,332.06 is: 6,500.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,522.30 : 9,786.93 = 4,332.06 : x
  2. Step 2: Convert to fraction form
    6,522.30/9,786.93 = 4,332.06/x
  3. Step 3: Cross multiply
    6,522.30x = 9,786.93 × 4,332.06
  4. Step 4: Simplify right side
    6,522.30x = 42,397,567.98
  5. Step 5: Solve for x
    x = 42,397,567.98/6,522.30
  6. Step 6: Final answer
    x = 6,500.40

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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.