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Finding the Fourth Proportional to 9,765.48, 14,648.08 and 2,370

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Solution

The fourth proportional to 9,765.48, 14,648.08 and 2,370 is: 3,554.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,765.48 : 14,648.08 = 2,370 : x
  2. Step 2: Convert to fraction form
    9,765.48/14,648.08 = 2,370/x
  3. Step 3: Cross multiply
    9,765.48x = 14,648.08 × 2,370
  4. Step 4: Simplify right side
    9,765.48x = 34,715,949.60
  5. Step 5: Solve for x
    x = 34,715,949.60/9,765.48
  6. Step 6: Final answer
    x = 3,554.97

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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.