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Finding the Fourth Proportional to 9,903.84, 14,848.74 and 4,969.92

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Solution

The fourth proportional to 9,903.84, 14,848.74 and 4,969.92 is: 7,451.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,903.84 : 14,848.74 = 4,969.92 : x
  2. Step 2: Convert to fraction form
    9,903.84/14,848.74 = 4,969.92/x
  3. Step 3: Cross multiply
    9,903.84x = 14,848.74 × 4,969.92
  4. Step 4: Simplify right side
    9,903.84x = 73,797,049.90
  5. Step 5: Solve for x
    x = 73,797,049.90/9,903.84
  6. Step 6: Final answer
    x = 7,451.36

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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.