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Finding the Fourth Proportional to 9,874.18, 14,822.84 and 7,795.59

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Solution

The fourth proportional to 9,874.18, 14,822.84 and 7,795.59 is: 11,702.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,874.18 : 14,822.84 = 7,795.59 : x
  2. Step 2: Convert to fraction form
    9,874.18/14,822.84 = 7,795.59/x
  3. Step 3: Cross multiply
    9,874.18x = 14,822.84 × 7,795.59
  4. Step 4: Simplify right side
    9,874.18x = 115,552,783.28
  5. Step 5: Solve for x
    x = 115,552,783.28/9,874.18
  6. Step 6: Final answer
    x = 11,702.52

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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.