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Finding the Fourth Proportional to 5,506.22, 7,600 and 3,409.12

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Solution

The fourth proportional to 5,506.22, 7,600 and 3,409.12 is: 4,705.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,506.22 : 7,600 = 3,409.12 : x
  2. Step 2: Convert to fraction form
    5,506.22/7,600 = 3,409.12/x
  3. Step 3: Cross multiply
    5,506.22x = 7,600 × 3,409.12
  4. Step 4: Simplify right side
    5,506.22x = 25,909,312
  5. Step 5: Solve for x
    x = 25,909,312/5,506.22
  6. Step 6: Final answer
    x = 4,705.46

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Double scale
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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.