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Finding the Fourth Proportional to 8,712.70, 12,007.11 and 8,583.10

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Solution

The fourth proportional to 8,712.70, 12,007.11 and 8,583.10 is: 11,828.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,712.70 : 12,007.11 = 8,583.10 : x
  2. Step 2: Convert to fraction form
    8,712.70/12,007.11 = 8,583.10/x
  3. Step 3: Cross multiply
    8,712.70x = 12,007.11 × 8,583.10
  4. Step 4: Simplify right side
    8,712.70x = 103,058,225.84
  5. Step 5: Solve for x
    x = 103,058,225.84/8,712.70
  6. Step 6: Final answer
    x = 11,828.51

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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.