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Finding the Fourth Proportional to 6,978.08, 9,630.16 and 4,616.08

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Solution

The fourth proportional to 6,978.08, 9,630.16 and 4,616.08 is: 6,370.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,978.08 : 9,630.16 = 4,616.08 : x
  2. Step 2: Convert to fraction form
    6,978.08/9,630.16 = 4,616.08/x
  3. Step 3: Cross multiply
    6,978.08x = 9,630.16 × 4,616.08
  4. Step 4: Simplify right side
    6,978.08x = 44,453,588.97
  5. Step 5: Solve for x
    x = 44,453,588.97/6,978.08
  6. Step 6: Final answer
    x = 6,370.46

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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.