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Finding the Fourth Proportional to 7,013.40, 9,670.50 and 5,224.02

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Solution

The fourth proportional to 7,013.40, 9,670.50 and 5,224.02 is: 7,203.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,013.40 : 9,670.50 = 5,224.02 : x
  2. Step 2: Convert to fraction form
    7,013.40/9,670.50 = 5,224.02/x
  3. Step 3: Cross multiply
    7,013.40x = 9,670.50 × 5,224.02
  4. Step 4: Simplify right side
    7,013.40x = 50,518,885.41
  5. Step 5: Solve for x
    x = 50,518,885.41/7,013.40
  6. Step 6: Final answer
    x = 7,203.19

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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.