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Finding the Fourth Proportional to 6,971.03, 10,460.14 and 4,632.65

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Solution

The fourth proportional to 6,971.03, 10,460.14 and 4,632.65 is: 6,951.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,971.03 : 10,460.14 = 4,632.65 : x
  2. Step 2: Convert to fraction form
    6,971.03/10,460.14 = 4,632.65/x
  3. Step 3: Cross multiply
    6,971.03x = 10,460.14 × 4,632.65
  4. Step 4: Simplify right side
    6,971.03x = 48,458,167.57
  5. Step 5: Solve for x
    x = 48,458,167.57/6,971.03
  6. Step 6: Final answer
    x = 6,951.36

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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.