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Finding the Fourth Proportional to 9,823.78, 14,735.67 and 8,088.76

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Solution

The fourth proportional to 9,823.78, 14,735.67 and 8,088.76 is: 12,133.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,823.78 : 14,735.67 = 8,088.76 : x
  2. Step 2: Convert to fraction form
    9,823.78/14,735.67 = 8,088.76/x
  3. Step 3: Cross multiply
    9,823.78x = 14,735.67 × 8,088.76
  4. Step 4: Simplify right side
    9,823.78x = 119,193,298.07
  5. Step 5: Solve for x
    x = 119,193,298.07/9,823.78
  6. Step 6: Final answer
    x = 12,133.14

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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.