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Finding the Fourth Proportional to 9,896.84, 14,823.88 and 9,315.24

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Solution

The fourth proportional to 9,896.84, 14,823.88 and 9,315.24 is: 13,952.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,896.84 : 14,823.88 = 9,315.24 : x
  2. Step 2: Convert to fraction form
    9,896.84/14,823.88 = 9,315.24/x
  3. Step 3: Cross multiply
    9,896.84x = 14,823.88 × 9,315.24
  4. Step 4: Simplify right side
    9,896.84x = 138,087,999.93
  5. Step 5: Solve for x
    x = 138,087,999.93/9,896.84
  6. Step 6: Final answer
    x = 13,952.74

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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.