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Finding the Fourth Proportional to 8,549.75, 11,798.66 and 4,824.47

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Solution

The fourth proportional to 8,549.75, 11,798.66 and 4,824.47 is: 6,657.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,549.75 : 11,798.66 = 4,824.47 : x
  2. Step 2: Convert to fraction form
    8,549.75/11,798.66 = 4,824.47/x
  3. Step 3: Cross multiply
    8,549.75x = 11,798.66 × 4,824.47
  4. Step 4: Simplify right side
    8,549.75x = 56,922,281.21
  5. Step 5: Solve for x
    x = 56,922,281.21/8,549.75
  6. Step 6: Final answer
    x = 6,657.77

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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.