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Finding the Fourth Proportional to 9,760.92, 14,607.36 and 7,985.40

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Solution

The fourth proportional to 9,760.92, 14,607.36 and 7,985.40 is: 11,950.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,760.92 : 14,607.36 = 7,985.40 : x
  2. Step 2: Convert to fraction form
    9,760.92/14,607.36 = 7,985.40/x
  3. Step 3: Cross multiply
    9,760.92x = 14,607.36 × 7,985.40
  4. Step 4: Simplify right side
    9,760.92x = 116,645,612.54
  5. Step 5: Solve for x
    x = 116,645,612.54/9,760.92
  6. Step 6: Final answer
    x = 11,950.27

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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.