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Finding the Fourth Proportional to 8,293.56, 11,443.13 and 4,707.72

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Solution

The fourth proportional to 8,293.56, 11,443.13 and 4,707.72 is: 6,495.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,293.56 : 11,443.13 = 4,707.72 : x
  2. Step 2: Convert to fraction form
    8,293.56/11,443.13 = 4,707.72/x
  3. Step 3: Cross multiply
    8,293.56x = 11,443.13 × 4,707.72
  4. Step 4: Simplify right side
    8,293.56x = 53,871,028.43
  5. Step 5: Solve for x
    x = 53,871,028.43/8,293.56
  6. Step 6: Final answer
    x = 6,495.53

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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.