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Finding the Fourth Proportional to 7,533.77, 11,293.11 and 3,578.06

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Solution

The fourth proportional to 7,533.77, 11,293.11 and 3,578.06 is: 5,363.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,533.77 : 11,293.11 = 3,578.06 : x
  2. Step 2: Convert to fraction form
    7,533.77/11,293.11 = 3,578.06/x
  3. Step 3: Cross multiply
    7,533.77x = 11,293.11 × 3,578.06
  4. Step 4: Simplify right side
    7,533.77x = 40,407,368.70
  5. Step 5: Solve for x
    x = 40,407,368.70/7,533.77
  6. Step 6: Final answer
    x = 5,363.50

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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.