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Finding the Fourth Proportional to 11,658.99, 16,095.50 and 9,066.18

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Solution

The fourth proportional to 11,658.99, 16,095.50 and 9,066.18 is: 12,516.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,658.99 : 16,095.50 = 9,066.18 : x
  2. Step 2: Convert to fraction form
    11,658.99/16,095.50 = 9,066.18/x
  3. Step 3: Cross multiply
    11,658.99x = 16,095.50 × 9,066.18
  4. Step 4: Simplify right side
    11,658.99x = 145,924,700.19
  5. Step 5: Solve for x
    x = 145,924,700.19/11,658.99
  6. Step 6: Final answer
    x = 12,516.07

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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.