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Finding the Fourth Proportional to 7,101.65, 9,800.34 and 3,915.06

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Solution

The fourth proportional to 7,101.65, 9,800.34 and 3,915.06 is: 5,402.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,101.65 : 9,800.34 = 3,915.06 : x
  2. Step 2: Convert to fraction form
    7,101.65/9,800.34 = 3,915.06/x
  3. Step 3: Cross multiply
    7,101.65x = 9,800.34 × 3,915.06
  4. Step 4: Simplify right side
    7,101.65x = 38,368,919.12
  5. Step 5: Solve for x
    x = 38,368,919.12/7,101.65
  6. Step 6: Final answer
    x = 5,402.82

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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.