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Finding the Fourth Proportional to 10,297.99, 15,410.08 and 8,916.10

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Solution

The fourth proportional to 10,297.99, 15,410.08 and 8,916.10 is: 13,342.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,297.99 : 15,410.08 = 8,916.10 : x
  2. Step 2: Convert to fraction form
    10,297.99/15,410.08 = 8,916.10/x
  3. Step 3: Cross multiply
    10,297.99x = 15,410.08 × 8,916.10
  4. Step 4: Simplify right side
    10,297.99x = 137,397,786.91
  5. Step 5: Solve for x
    x = 137,397,786.91/10,297.99
  6. Step 6: Final answer
    x = 13,342.19

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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.