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Finding the Fourth Proportional to 7,364.01, 10,166.10 and 5,681.64

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Solution

The fourth proportional to 7,364.01, 10,166.10 and 5,681.64 is: 7,843.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,364.01 : 10,166.10 = 5,681.64 : x
  2. Step 2: Convert to fraction form
    7,364.01/10,166.10 = 5,681.64/x
  3. Step 3: Cross multiply
    7,364.01x = 10,166.10 × 5,681.64
  4. Step 4: Simplify right side
    7,364.01x = 57,760,120.40
  5. Step 5: Solve for x
    x = 57,760,120.40/7,364.01
  6. Step 6: Final answer
    x = 7,843.57

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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.