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Finding the Fourth Proportional to 10,094.81, 13,929.91 and 7,443.68

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Solution

The fourth proportional to 10,094.81, 13,929.91 and 7,443.68 is: 10,271.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,094.81 : 13,929.91 = 7,443.68 : x
  2. Step 2: Convert to fraction form
    10,094.81/13,929.91 = 7,443.68/x
  3. Step 3: Cross multiply
    10,094.81x = 13,929.91 × 7,443.68
  4. Step 4: Simplify right side
    10,094.81x = 103,689,704.21
  5. Step 5: Solve for x
    x = 103,689,704.21/10,094.81
  6. Step 6: Final answer
    x = 10,271.59

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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.