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Finding the Fourth Proportional to 16,510.68, 24,762.24 and 9,849.08

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Solution

The fourth proportional to 16,510.68, 24,762.24 and 9,849.08 is: 14,771.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,510.68 : 24,762.24 = 9,849.08 : x
  2. Step 2: Convert to fraction form
    16,510.68/24,762.24 = 9,849.08/x
  3. Step 3: Cross multiply
    16,510.68x = 24,762.24 × 9,849.08
  4. Step 4: Simplify right side
    16,510.68x = 243,885,282.74
  5. Step 5: Solve for x
    x = 243,885,282.74/16,510.68
  6. Step 6: Final answer
    x = 14,771.37

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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.