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Finding the Fourth Proportional to 6,465.42, 9,699.04 and 2,767.57

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Solution

The fourth proportional to 6,465.42, 9,699.04 and 2,767.57 is: 4,151.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,465.42 : 9,699.04 = 2,767.57 : x
  2. Step 2: Convert to fraction form
    6,465.42/9,699.04 = 2,767.57/x
  3. Step 3: Cross multiply
    6,465.42x = 9,699.04 × 2,767.57
  4. Step 4: Simplify right side
    6,465.42x = 26,842,751.34
  5. Step 5: Solve for x
    x = 26,842,751.34/6,465.42
  6. Step 6: Final answer
    x = 4,151.74

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1.5x scale

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.