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Finding the Fourth Proportional to 7,735.48, 10,682.08 and 7,321.16

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Solution

The fourth proportional to 7,735.48, 10,682.08 and 7,321.16 is: 10,109.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,735.48 : 10,682.08 = 7,321.16 : x
  2. Step 2: Convert to fraction form
    7,735.48/10,682.08 = 7,321.16/x
  3. Step 3: Cross multiply
    7,735.48x = 10,682.08 × 7,321.16
  4. Step 4: Simplify right side
    7,735.48x = 78,205,225.22
  5. Step 5: Solve for x
    x = 78,205,225.22/7,735.48
  6. Step 6: Final answer
    x = 10,109.94

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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.