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Finding the Fourth Proportional to 6,551.68, 9,041.16 and 4,193.32

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Solution

The fourth proportional to 6,551.68, 9,041.16 and 4,193.32 is: 5,786.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,551.68 : 9,041.16 = 4,193.32 : x
  2. Step 2: Convert to fraction form
    6,551.68/9,041.16 = 4,193.32/x
  3. Step 3: Cross multiply
    6,551.68x = 9,041.16 × 4,193.32
  4. Step 4: Simplify right side
    6,551.68x = 37,912,477.05
  5. Step 5: Solve for x
    x = 37,912,477.05/6,551.68
  6. Step 6: Final answer
    x = 5,786.68

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Double scale
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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.