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Finding the Fourth Proportional to 9,817.84, 14,715.76 and 3,889.24

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Solution

The fourth proportional to 9,817.84, 14,715.76 and 3,889.24 is: 5,829.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,817.84 : 14,715.76 = 3,889.24 : x
  2. Step 2: Convert to fraction form
    9,817.84/14,715.76 = 3,889.24/x
  3. Step 3: Cross multiply
    9,817.84x = 14,715.76 × 3,889.24
  4. Step 4: Simplify right side
    9,817.84x = 57,233,122.42
  5. Step 5: Solve for x
    x = 57,233,122.42/9,817.84
  6. Step 6: Final answer
    x = 5,829.50

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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.