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Finding the Fourth Proportional to 13,409.99, 18,506.94 and 7,442.81

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Solution

The fourth proportional to 13,409.99, 18,506.94 and 7,442.81 is: 10,271.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,409.99 : 18,506.94 = 7,442.81 : x
  2. Step 2: Convert to fraction form
    13,409.99/18,506.94 = 7,442.81/x
  3. Step 3: Cross multiply
    13,409.99x = 18,506.94 × 7,442.81
  4. Step 4: Simplify right side
    13,409.99x = 137,743,545.57
  5. Step 5: Solve for x
    x = 137,743,545.57/13,409.99
  6. Step 6: Final answer
    x = 10,271.72

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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.