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Finding the Fourth Proportional to 8,539.85, 11,784.98 and 4,763.02

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Solution

The fourth proportional to 8,539.85, 11,784.98 and 4,763.02 is: 6,572.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,539.85 : 11,784.98 = 4,763.02 : x
  2. Step 2: Convert to fraction form
    8,539.85/11,784.98 = 4,763.02/x
  3. Step 3: Cross multiply
    8,539.85x = 11,784.98 × 4,763.02
  4. Step 4: Simplify right side
    8,539.85x = 56,132,095.44
  5. Step 5: Solve for x
    x = 56,132,095.44/8,539.85
  6. Step 6: Final answer
    x = 6,572.96

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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.