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Finding the Fourth Proportional to 9,931.76, 14,889.79 and 6,802.28

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Solution

The fourth proportional to 9,931.76, 14,889.79 and 6,802.28 is: 10,198.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,931.76 : 14,889.79 = 6,802.28 : x
  2. Step 2: Convert to fraction form
    9,931.76/14,889.79 = 6,802.28/x
  3. Step 3: Cross multiply
    9,931.76x = 14,889.79 × 6,802.28
  4. Step 4: Simplify right side
    9,931.76x = 101,284,520.72
  5. Step 5: Solve for x
    x = 101,284,520.72/9,931.76
  6. Step 6: Final answer
    x = 10,198.04

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.