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Finding the Fourth Proportional to 9,563, 13,191.22 and 6,020.06

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Solution

The fourth proportional to 9,563, 13,191.22 and 6,020.06 is: 8,304.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,563 : 13,191.22 = 6,020.06 : x
  2. Step 2: Convert to fraction form
    9,563/13,191.22 = 6,020.06/x
  3. Step 3: Cross multiply
    9,563x = 13,191.22 × 6,020.06
  4. Step 4: Simplify right side
    9,563x = 79,411,935.87
  5. Step 5: Solve for x
    x = 79,411,935.87/9,563
  6. Step 6: Final answer
    x = 8,304.08

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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.