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Finding the Fourth Proportional to 4,925.77, 6,832.40 and 4,748.45

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Solution

The fourth proportional to 4,925.77, 6,832.40 and 4,748.45 is: 6,586.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,925.77 : 6,832.40 = 4,748.45 : x
  2. Step 2: Convert to fraction form
    4,925.77/6,832.40 = 4,748.45/x
  3. Step 3: Cross multiply
    4,925.77x = 6,832.40 × 4,748.45
  4. Step 4: Simplify right side
    4,925.77x = 32,443,309.78
  5. Step 5: Solve for x
    x = 32,443,309.78/4,925.77
  6. Step 6: Final answer
    x = 6,586.44

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.