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Finding the Fourth Proportional to 9,877.90, 14,794.92 and 7,096.22

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Solution

The fourth proportional to 9,877.90, 14,794.92 and 7,096.22 is: 10,628.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,877.90 : 14,794.92 = 7,096.22 : x
  2. Step 2: Convert to fraction form
    9,877.90/14,794.92 = 7,096.22/x
  3. Step 3: Cross multiply
    9,877.90x = 14,794.92 × 7,096.22
  4. Step 4: Simplify right side
    9,877.90x = 104,988,071.93
  5. Step 5: Solve for x
    x = 104,988,071.93/9,877.90
  6. Step 6: Final answer
    x = 10,628.58

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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.