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Finding the Fourth Proportional to 9,898.84, 14,846.88 and 2,502.84

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Solution

The fourth proportional to 9,898.84, 14,846.88 and 2,502.84 is: 3,753.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,898.84 : 14,846.88 = 2,502.84 : x
  2. Step 2: Convert to fraction form
    9,898.84/14,846.88 = 2,502.84/x
  3. Step 3: Cross multiply
    9,898.84x = 14,846.88 × 2,502.84
  4. Step 4: Simplify right side
    9,898.84x = 37,159,365.14
  5. Step 5: Solve for x
    x = 37,159,365.14/9,898.84
  6. Step 6: Final answer
    x = 3,753.91

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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.