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Finding the Fourth Proportional to 7,683.12, 10,616.40 and 6,009.12

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Solution

The fourth proportional to 7,683.12, 10,616.40 and 6,009.12 is: 8,303.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,683.12 : 10,616.40 = 6,009.12 : x
  2. Step 2: Convert to fraction form
    7,683.12/10,616.40 = 6,009.12/x
  3. Step 3: Cross multiply
    7,683.12x = 10,616.40 × 6,009.12
  4. Step 4: Simplify right side
    7,683.12x = 63,795,221.57
  5. Step 5: Solve for x
    x = 63,795,221.57/7,683.12
  6. Step 6: Final answer
    x = 8,303.30

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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.