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Finding the Fourth Proportional to 17,760.76, 24,510.12 and 9,803

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Solution

The fourth proportional to 17,760.76, 24,510.12 and 9,803 is: 13,528.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,760.76 : 24,510.12 = 9,803 : x
  2. Step 2: Convert to fraction form
    17,760.76/24,510.12 = 9,803/x
  3. Step 3: Cross multiply
    17,760.76x = 24,510.12 × 9,803
  4. Step 4: Simplify right side
    17,760.76x = 240,272,706.36
  5. Step 5: Solve for x
    x = 240,272,706.36/17,760.76
  6. Step 6: Final answer
    x = 13,528.29

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.