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Finding the Fourth Proportional to 8,533.42, 11,776.88 and 4,949.71

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Solution

The fourth proportional to 8,533.42, 11,776.88 and 4,949.71 is: 6,831.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,533.42 : 11,776.88 = 4,949.71 : x
  2. Step 2: Convert to fraction form
    8,533.42/11,776.88 = 4,949.71/x
  3. Step 3: Cross multiply
    8,533.42x = 11,776.88 × 4,949.71
  4. Step 4: Simplify right side
    8,533.42x = 58,292,140.70
  5. Step 5: Solve for x
    x = 58,292,140.70/8,533.42
  6. Step 6: Final answer
    x = 6,831.04

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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.