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Finding the Fourth Proportional to 9,137.99, 13,707.06 and 7,813.16

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Solution

The fourth proportional to 9,137.99, 13,707.06 and 7,813.16 is: 11,719.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,137.99 : 13,707.06 = 7,813.16 : x
  2. Step 2: Convert to fraction form
    9,137.99/13,707.06 = 7,813.16/x
  3. Step 3: Cross multiply
    9,137.99x = 13,707.06 × 7,813.16
  4. Step 4: Simplify right side
    9,137.99x = 107,095,452.91
  5. Step 5: Solve for x
    x = 107,095,452.91/9,137.99
  6. Step 6: Final answer
    x = 11,719.80

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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.