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Finding the Fourth Proportional to 9,937.69, 14,906.53 and 3,012.19

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Solution

The fourth proportional to 9,937.69, 14,906.53 and 3,012.19 is: 4,518.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,937.69 : 14,906.53 = 3,012.19 : x
  2. Step 2: Convert to fraction form
    9,937.69/14,906.53 = 3,012.19/x
  3. Step 3: Cross multiply
    9,937.69x = 14,906.53 × 3,012.19
  4. Step 4: Simplify right side
    9,937.69x = 44,901,267.10
  5. Step 5: Solve for x
    x = 44,901,267.10/9,937.69
  6. Step 6: Final answer
    x = 4,518.28

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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.