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Finding the Fourth Proportional to 6,859.65, 9,466.32 and 3,715.84

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Solution

The fourth proportional to 6,859.65, 9,466.32 and 3,715.84 is: 5,127.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,859.65 : 9,466.32 = 3,715.84 : x
  2. Step 2: Convert to fraction form
    6,859.65/9,466.32 = 3,715.84/x
  3. Step 3: Cross multiply
    6,859.65x = 9,466.32 × 3,715.84
  4. Step 4: Simplify right side
    6,859.65x = 35,175,330.51
  5. Step 5: Solve for x
    x = 35,175,330.51/6,859.65
  6. Step 6: Final answer
    x = 5,127.86

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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.