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Finding the Fourth Proportional to 7,033, 10,549.50 and 2,929

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Solution

The fourth proportional to 7,033, 10,549.50 and 2,929 is: 4,393.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,033 : 10,549.50 = 2,929 : x
  2. Step 2: Convert to fraction form
    7,033/10,549.50 = 2,929/x
  3. Step 3: Cross multiply
    7,033x = 10,549.50 × 2,929
  4. Step 4: Simplify right side
    7,033x = 30,899,485.50
  5. Step 5: Solve for x
    x = 30,899,485.50/7,033
  6. Step 6: Final answer
    x = 4,393.50

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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.