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Finding the Fourth Proportional to 9,771.84, 13,474.62 and 9,566.82

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Solution

The fourth proportional to 9,771.84, 13,474.62 and 9,566.82 is: 13,191.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,771.84 : 13,474.62 = 9,566.82 : x
  2. Step 2: Convert to fraction form
    9,771.84/13,474.62 = 9,566.82/x
  3. Step 3: Cross multiply
    9,771.84x = 13,474.62 × 9,566.82
  4. Step 4: Simplify right side
    9,771.84x = 128,909,264.11
  5. Step 5: Solve for x
    x = 128,909,264.11/9,771.84
  6. Step 6: Final answer
    x = 13,191.91

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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.