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Finding the Fourth Proportional to 10,842.99, 16,256.64 and 7,324.29

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Solution

The fourth proportional to 10,842.99, 16,256.64 and 7,324.29 is: 10,981.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,842.99 : 16,256.64 = 7,324.29 : x
  2. Step 2: Convert to fraction form
    10,842.99/16,256.64 = 7,324.29/x
  3. Step 3: Cross multiply
    10,842.99x = 16,256.64 × 7,324.29
  4. Step 4: Simplify right side
    10,842.99x = 119,068,345.79
  5. Step 5: Solve for x
    x = 119,068,345.79/10,842.99
  6. Step 6: Final answer
    x = 10,981.14

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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.