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Finding the Fourth Proportional to 6,465.22, 9,700.71 and 3,386.50

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Solution

The fourth proportional to 6,465.22, 9,700.71 and 3,386.50 is: 5,081.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,465.22 : 9,700.71 = 3,386.50 : x
  2. Step 2: Convert to fraction form
    6,465.22/9,700.71 = 3,386.50/x
  3. Step 3: Cross multiply
    6,465.22x = 9,700.71 × 3,386.50
  4. Step 4: Simplify right side
    6,465.22x = 32,851,454.42
  5. Step 5: Solve for x
    x = 32,851,454.42/6,465.22
  6. Step 6: Final answer
    x = 5,081.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.