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Finding the Fourth Proportional to 5,506.50, 7,599.03 and 3,022.50

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Solution

The fourth proportional to 5,506.50, 7,599.03 and 3,022.50 is: 4,171.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,506.50 : 7,599.03 = 3,022.50 : x
  2. Step 2: Convert to fraction form
    5,506.50/7,599.03 = 3,022.50/x
  3. Step 3: Cross multiply
    5,506.50x = 7,599.03 × 3,022.50
  4. Step 4: Simplify right side
    5,506.50x = 22,968,068.18
  5. Step 5: Solve for x
    x = 22,968,068.18/5,506.50
  6. Step 6: Final answer
    x = 4,171.08

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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.