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Finding the Fourth Proportional to 6,980.08, 9,632.92 and 4,618.08

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Solution

The fourth proportional to 6,980.08, 9,632.92 and 4,618.08 is: 6,373.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,980.08 : 9,632.92 = 4,618.08 : x
  2. Step 2: Convert to fraction form
    6,980.08/9,632.92 = 4,618.08/x
  3. Step 3: Cross multiply
    6,980.08x = 9,632.92 × 4,618.08
  4. Step 4: Simplify right side
    6,980.08x = 44,485,595.19
  5. Step 5: Solve for x
    x = 44,485,595.19/6,980.08
  6. Step 6: Final answer
    x = 6,373.22

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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.