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Finding the Fourth Proportional to 6,065.70, 9,097.50 and 1,683.16

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Solution

The fourth proportional to 6,065.70, 9,097.50 and 1,683.16 is: 2,524.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,065.70 : 9,097.50 = 1,683.16 : x
  2. Step 2: Convert to fraction form
    6,065.70/9,097.50 = 1,683.16/x
  3. Step 3: Cross multiply
    6,065.70x = 9,097.50 × 1,683.16
  4. Step 4: Simplify right side
    6,065.70x = 15,312,548.10
  5. Step 5: Solve for x
    x = 15,312,548.10/6,065.70
  6. Step 6: Final answer
    x = 2,524.45

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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.