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Finding the Fourth Proportional to 6,065.64, 9,098.16 and 1,683.24

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Solution

The fourth proportional to 6,065.64, 9,098.16 and 1,683.24 is: 2,524.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,065.64 : 9,098.16 = 1,683.24 : x
  2. Step 2: Convert to fraction form
    6,065.64/9,098.16 = 1,683.24/x
  3. Step 3: Cross multiply
    6,065.64x = 9,098.16 × 1,683.24
  4. Step 4: Simplify right side
    6,065.64x = 15,314,386.84
  5. Step 5: Solve for x
    x = 15,314,386.84/6,065.64
  6. Step 6: Final answer
    x = 2,524.78

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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.