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Finding the Fourth Proportional to 4,915.72, 6,777.06 and 4,762.84

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Solution

The fourth proportional to 4,915.72, 6,777.06 and 4,762.84 is: 6,566.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,915.72 : 6,777.06 = 4,762.84 : x
  2. Step 2: Convert to fraction form
    4,915.72/6,777.06 = 4,762.84/x
  3. Step 3: Cross multiply
    4,915.72x = 6,777.06 × 4,762.84
  4. Step 4: Simplify right side
    4,915.72x = 32,278,052.45
  5. Step 5: Solve for x
    x = 32,278,052.45/4,915.72
  6. Step 6: Final answer
    x = 6,566.29

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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.