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Finding the Fourth Proportional to 6,859.42, 9,466.05 and 3,715.63

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Solution

The fourth proportional to 6,859.42, 9,466.05 and 3,715.63 is: 5,127.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,859.42 : 9,466.05 = 3,715.63 : x
  2. Step 2: Convert to fraction form
    6,859.42/9,466.05 = 3,715.63/x
  3. Step 3: Cross multiply
    6,859.42x = 9,466.05 × 3,715.63
  4. Step 4: Simplify right side
    6,859.42x = 35,172,339.36
  5. Step 5: Solve for x
    x = 35,172,339.36/6,859.42
  6. Step 6: Final answer
    x = 5,127.60

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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.