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Finding the Fourth Proportional to 6,684.44, 9,203.10 and 6,237.32

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Solution

The fourth proportional to 6,684.44, 9,203.10 and 6,237.32 is: 8,587.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,684.44 : 9,203.10 = 6,237.32 : x
  2. Step 2: Convert to fraction form
    6,684.44/9,203.10 = 6,237.32/x
  3. Step 3: Cross multiply
    6,684.44x = 9,203.10 × 6,237.32
  4. Step 4: Simplify right side
    6,684.44x = 57,402,679.69
  5. Step 5: Solve for x
    x = 57,402,679.69/6,684.44
  6. Step 6: Final answer
    x = 8,587.51

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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.