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Finding the Fourth Proportional to 6,506.08, 9,753.06 and 4,630.12

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Solution

The fourth proportional to 6,506.08, 9,753.06 and 4,630.12 is: 6,940.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,506.08 : 9,753.06 = 4,630.12 : x
  2. Step 2: Convert to fraction form
    6,506.08/9,753.06 = 4,630.12/x
  3. Step 3: Cross multiply
    6,506.08x = 9,753.06 × 4,630.12
  4. Step 4: Simplify right side
    6,506.08x = 45,157,838.17
  5. Step 5: Solve for x
    x = 45,157,838.17/6,506.08
  6. Step 6: Final answer
    x = 6,940.87

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1.5x scale

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.