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Finding the Fourth Proportional to 9,974.04, 14,963.84 and 4,352.21

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Solution

The fourth proportional to 9,974.04, 14,963.84 and 4,352.21 is: 6,529.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,974.04 : 14,963.84 = 4,352.21 : x
  2. Step 2: Convert to fraction form
    9,974.04/14,963.84 = 4,352.21/x
  3. Step 3: Cross multiply
    9,974.04x = 14,963.84 × 4,352.21
  4. Step 4: Simplify right side
    9,974.04x = 65,125,677.51
  5. Step 5: Solve for x
    x = 65,125,677.51/9,974.04
  6. Step 6: Final answer
    x = 6,529.52

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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.