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Finding the Fourth Proportional to 8,290.07, 11,440.29 and 4,564.07

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Solution

The fourth proportional to 8,290.07, 11,440.29 and 4,564.07 is: 6,298.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,290.07 : 11,440.29 = 4,564.07 : x
  2. Step 2: Convert to fraction form
    8,290.07/11,440.29 = 4,564.07/x
  3. Step 3: Cross multiply
    8,290.07x = 11,440.29 × 4,564.07
  4. Step 4: Simplify right side
    8,290.07x = 52,214,227.18
  5. Step 5: Solve for x
    x = 52,214,227.18/8,290.07
  6. Step 6: Final answer
    x = 6,298.41

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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.