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Finding the Fourth Proportional to 9,712.74, 13,396.64 and 9,566.94

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Solution

The fourth proportional to 9,712.74, 13,396.64 and 9,566.94 is: 13,195.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,712.74 : 13,396.64 = 9,566.94 : x
  2. Step 2: Convert to fraction form
    9,712.74/13,396.64 = 9,566.94/x
  3. Step 3: Cross multiply
    9,712.74x = 13,396.64 × 9,566.94
  4. Step 4: Simplify right side
    9,712.74x = 128,164,803.25
  5. Step 5: Solve for x
    x = 128,164,803.25/9,712.74
  6. Step 6: Final answer
    x = 13,195.54

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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.