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Finding the Fourth Proportional to 6,865.29, 10,302.12 and 6,307.65

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Solution

The fourth proportional to 6,865.29, 10,302.12 and 6,307.65 is: 9,465.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,865.29 : 10,302.12 = 6,307.65 : x
  2. Step 2: Convert to fraction form
    6,865.29/10,302.12 = 6,307.65/x
  3. Step 3: Cross multiply
    6,865.29x = 10,302.12 × 6,307.65
  4. Step 4: Simplify right side
    6,865.29x = 64,982,167.22
  5. Step 5: Solve for x
    x = 64,982,167.22/6,865.29
  6. Step 6: Final answer
    x = 9,465.32

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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.