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Finding the Fourth Proportional to 8,159.58, 11,261.22 and 4,802.24

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Solution

The fourth proportional to 8,159.58, 11,261.22 and 4,802.24 is: 6,627.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,159.58 : 11,261.22 = 4,802.24 : x
  2. Step 2: Convert to fraction form
    8,159.58/11,261.22 = 4,802.24/x
  3. Step 3: Cross multiply
    8,159.58x = 11,261.22 × 4,802.24
  4. Step 4: Simplify right side
    8,159.58x = 54,079,024.83
  5. Step 5: Solve for x
    x = 54,079,024.83/8,159.58
  6. Step 6: Final answer
    x = 6,627.67

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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.