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Finding the Fourth Proportional to 8,539.66, 11,790.12 and 6,546.52

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Solution

The fourth proportional to 8,539.66, 11,790.12 and 6,546.52 is: 9,038.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,539.66 : 11,790.12 = 6,546.52 : x
  2. Step 2: Convert to fraction form
    8,539.66/11,790.12 = 6,546.52/x
  3. Step 3: Cross multiply
    8,539.66x = 11,790.12 × 6,546.52
  4. Step 4: Simplify right side
    8,539.66x = 77,184,256.38
  5. Step 5: Solve for x
    x = 77,184,256.38/8,539.66
  6. Step 6: Final answer
    x = 9,038.33

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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.