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Finding the Fourth Proportional to 9,835.76, 14,753.75 and 7,873.86

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Solution

The fourth proportional to 9,835.76, 14,753.75 and 7,873.86 is: 11,810.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,835.76 : 14,753.75 = 7,873.86 : x
  2. Step 2: Convert to fraction form
    9,835.76/14,753.75 = 7,873.86/x
  3. Step 3: Cross multiply
    9,835.76x = 14,753.75 × 7,873.86
  4. Step 4: Simplify right side
    9,835.76x = 116,168,922.61
  5. Step 5: Solve for x
    x = 116,168,922.61/9,835.76
  6. Step 6: Final answer
    x = 11,810.87

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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.