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Finding the Fourth Proportional to 7,409.54, 11,106.54 and 3,457.54

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Solution

The fourth proportional to 7,409.54, 11,106.54 and 3,457.54 is: 5,182.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,409.54 : 11,106.54 = 3,457.54 : x
  2. Step 2: Convert to fraction form
    7,409.54/11,106.54 = 3,457.54/x
  3. Step 3: Cross multiply
    7,409.54x = 11,106.54 × 3,457.54
  4. Step 4: Simplify right side
    7,409.54x = 38,401,306.31
  5. Step 5: Solve for x
    x = 38,401,306.31/7,409.54
  6. Step 6: Final answer
    x = 5,182.68

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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.