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Finding the Fourth Proportional to 11,467.76, 15,833.04 and 8,810.36

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Solution

The fourth proportional to 11,467.76, 15,833.04 and 8,810.36 is: 12,164.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,467.76 : 15,833.04 = 8,810.36 : x
  2. Step 2: Convert to fraction form
    11,467.76/15,833.04 = 8,810.36/x
  3. Step 3: Cross multiply
    11,467.76x = 15,833.04 × 8,810.36
  4. Step 4: Simplify right side
    11,467.76x = 139,494,782.29
  5. Step 5: Solve for x
    x = 139,494,782.29/11,467.76
  6. Step 6: Final answer
    x = 12,164.08

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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.