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Finding the Fourth Proportional to 9,760.55, 14,606.80 and 7,985.03

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Solution

The fourth proportional to 9,760.55, 14,606.80 and 7,985.03 is: 11,949.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,760.55 : 14,606.80 = 7,985.03 : x
  2. Step 2: Convert to fraction form
    9,760.55/14,606.80 = 7,985.03/x
  3. Step 3: Cross multiply
    9,760.55x = 14,606.80 × 7,985.03
  4. Step 4: Simplify right side
    9,760.55x = 116,635,643.21
  5. Step 5: Solve for x
    x = 116,635,643.21/9,760.55
  6. Step 6: Final answer
    x = 11,949.71

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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.