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Finding the Fourth Proportional to 9,876.34, 14,801.74 and 7,391.66

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Solution

The fourth proportional to 9,876.34, 14,801.74 and 7,391.66 is: 11,077.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,876.34 : 14,801.74 = 7,391.66 : x
  2. Step 2: Convert to fraction form
    9,876.34/14,801.74 = 7,391.66/x
  3. Step 3: Cross multiply
    9,876.34x = 14,801.74 × 7,391.66
  4. Step 4: Simplify right side
    9,876.34x = 109,409,429.49
  5. Step 5: Solve for x
    x = 109,409,429.49/9,876.34
  6. Step 6: Final answer
    x = 11,077.93

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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.