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Finding the Fourth Proportional to 9,452.99, 13,045.71 and 7,878.35

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Solution

The fourth proportional to 9,452.99, 13,045.71 and 7,878.35 is: 10,872.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,452.99 : 13,045.71 = 7,878.35 : x
  2. Step 2: Convert to fraction form
    9,452.99/13,045.71 = 7,878.35/x
  3. Step 3: Cross multiply
    9,452.99x = 13,045.71 × 7,878.35
  4. Step 4: Simplify right side
    9,452.99x = 102,778,604.15
  5. Step 5: Solve for x
    x = 102,778,604.15/9,452.99
  6. Step 6: Final answer
    x = 10,872.61

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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.