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Finding the Fourth Proportional to 6,574.35, 9,849.22 and 5,106.32

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Solution

The fourth proportional to 6,574.35, 9,849.22 and 5,106.32 is: 7,649.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,574.35 : 9,849.22 = 5,106.32 : x
  2. Step 2: Convert to fraction form
    6,574.35/9,849.22 = 5,106.32/x
  3. Step 3: Cross multiply
    6,574.35x = 9,849.22 × 5,106.32
  4. Step 4: Simplify right side
    6,574.35x = 50,293,280.93
  5. Step 5: Solve for x
    x = 50,293,280.93/6,574.35
  6. Step 6: Final answer
    x = 7,649.92

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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.