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Finding the Fourth Proportional to 9,813.84, 14,709.48 and 4,886.88

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Solution

The fourth proportional to 9,813.84, 14,709.48 and 4,886.88 is: 7,324.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,813.84 : 14,709.48 = 4,886.88 : x
  2. Step 2: Convert to fraction form
    9,813.84/14,709.48 = 4,886.88/x
  3. Step 3: Cross multiply
    9,813.84x = 14,709.48 × 4,886.88
  4. Step 4: Simplify right side
    9,813.84x = 71,883,463.62
  5. Step 5: Solve for x
    x = 71,883,463.62/9,813.84
  6. Step 6: Final answer
    x = 7,324.70

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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.