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Finding the Fourth Proportional to 9,757.74, 13,459.59 and 6,400.74

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Solution

The fourth proportional to 9,757.74, 13,459.59 and 6,400.74 is: 8,829.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,757.74 : 13,459.59 = 6,400.74 : x
  2. Step 2: Convert to fraction form
    9,757.74/13,459.59 = 6,400.74/x
  3. Step 3: Cross multiply
    9,757.74x = 13,459.59 × 6,400.74
  4. Step 4: Simplify right side
    9,757.74x = 86,151,336.10
  5. Step 5: Solve for x
    x = 86,151,336.10/9,757.74
  6. Step 6: Final answer
    x = 8,829.03

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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.