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Finding the Fourth Proportional to 8,501, 11,729.04 and 5,096.66

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Solution

The fourth proportional to 8,501, 11,729.04 and 5,096.66 is: 7,031.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,501 : 11,729.04 = 5,096.66 : x
  2. Step 2: Convert to fraction form
    8,501/11,729.04 = 5,096.66/x
  3. Step 3: Cross multiply
    8,501x = 11,729.04 × 5,096.66
  4. Step 4: Simplify right side
    8,501x = 59,778,929.01
  5. Step 5: Solve for x
    x = 59,778,929.01/8,501
  6. Step 6: Final answer
    x = 7,031.99

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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.