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Finding the Fourth Proportional to 9,953.84, 14,901.60 and 6,982.04

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Solution

The fourth proportional to 9,953.84, 14,901.60 and 6,982.04 is: 10,452.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,953.84 : 14,901.60 = 6,982.04 : x
  2. Step 2: Convert to fraction form
    9,953.84/14,901.60 = 6,982.04/x
  3. Step 3: Cross multiply
    9,953.84x = 14,901.60 × 6,982.04
  4. Step 4: Simplify right side
    9,953.84x = 104,043,567.26
  5. Step 5: Solve for x
    x = 104,043,567.26/9,953.84
  6. Step 6: Final answer
    x = 10,452.61

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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.