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Finding the Fourth Proportional to 7,846.84, 11,774.58 and 4,771

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Solution

The fourth proportional to 7,846.84, 11,774.58 and 4,771 is: 7,159.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,846.84 : 11,774.58 = 4,771 : x
  2. Step 2: Convert to fraction form
    7,846.84/11,774.58 = 4,771/x
  3. Step 3: Cross multiply
    7,846.84x = 11,774.58 × 4,771
  4. Step 4: Simplify right side
    7,846.84x = 56,176,521.18
  5. Step 5: Solve for x
    x = 56,176,521.18/7,846.84
  6. Step 6: Final answer
    x = 7,159.13

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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.