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Finding the Fourth Proportional to 9,948.13, 14,922.21 and 4,738.21

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Solution

The fourth proportional to 9,948.13, 14,922.21 and 4,738.21 is: 7,107.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,948.13 : 14,922.21 = 4,738.21 : x
  2. Step 2: Convert to fraction form
    9,948.13/14,922.21 = 4,738.21/x
  3. Step 3: Cross multiply
    9,948.13x = 14,922.21 × 4,738.21
  4. Step 4: Simplify right side
    9,948.13x = 70,704,564.64
  5. Step 5: Solve for x
    x = 70,704,564.64/9,948.13
  6. Step 6: Final answer
    x = 7,107.32

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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.