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Finding the Fourth Proportional to 6,875.16, 9,484.38 and 4,078.68

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Solution

The fourth proportional to 6,875.16, 9,484.38 and 4,078.68 is: 5,626.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,875.16 : 9,484.38 = 4,078.68 : x
  2. Step 2: Convert to fraction form
    6,875.16/9,484.38 = 4,078.68/x
  3. Step 3: Cross multiply
    6,875.16x = 9,484.38 × 4,078.68
  4. Step 4: Simplify right side
    6,875.16x = 38,683,751.02
  5. Step 5: Solve for x
    x = 38,683,751.02/6,875.16
  6. Step 6: Final answer
    x = 5,626.60

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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.