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Finding the Fourth Proportional to 9,708.93, 13,404.15 and 7,466.40

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Solution

The fourth proportional to 9,708.93, 13,404.15 and 7,466.40 is: 10,308.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,708.93 : 13,404.15 = 7,466.40 : x
  2. Step 2: Convert to fraction form
    9,708.93/13,404.15 = 7,466.40/x
  3. Step 3: Cross multiply
    9,708.93x = 13,404.15 × 7,466.40
  4. Step 4: Simplify right side
    9,708.93x = 100,080,745.56
  5. Step 5: Solve for x
    x = 100,080,745.56/9,708.93
  6. Step 6: Final answer
    x = 10,308.11

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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.