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Finding the Fourth Proportional to 7,038.56, 9,712.22 and 5,980.62

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Solution

The fourth proportional to 7,038.56, 9,712.22 and 5,980.62 is: 8,252.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,038.56 : 9,712.22 = 5,980.62 : x
  2. Step 2: Convert to fraction form
    7,038.56/9,712.22 = 5,980.62/x
  3. Step 3: Cross multiply
    7,038.56x = 9,712.22 × 5,980.62
  4. Step 4: Simplify right side
    7,038.56x = 58,085,097.18
  5. Step 5: Solve for x
    x = 58,085,097.18/7,038.56
  6. Step 6: Final answer
    x = 8,252.41

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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.