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Finding the Fourth Proportional to 4,669.65, 6,962.63 and 4,586.63

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Solution

The fourth proportional to 4,669.65, 6,962.63 and 4,586.63 is: 6,838.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,669.65 : 6,962.63 = 4,586.63 : x
  2. Step 2: Convert to fraction form
    4,669.65/6,962.63 = 4,586.63/x
  3. Step 3: Cross multiply
    4,669.65x = 6,962.63 × 4,586.63
  4. Step 4: Simplify right side
    4,669.65x = 31,934,949.89
  5. Step 5: Solve for x
    x = 31,934,949.89/4,669.65
  6. Step 6: Final answer
    x = 6,838.83

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.