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Finding the Fourth Proportional to 4,926.96, 6,800.76 and 4,762.80

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Solution

The fourth proportional to 4,926.96, 6,800.76 and 4,762.80 is: 6,574.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,926.96 : 6,800.76 = 4,762.80 : x
  2. Step 2: Convert to fraction form
    4,926.96/6,800.76 = 4,762.80/x
  3. Step 3: Cross multiply
    4,926.96x = 6,800.76 × 4,762.80
  4. Step 4: Simplify right side
    4,926.96x = 32,390,659.73
  5. Step 5: Solve for x
    x = 32,390,659.73/4,926.96
  6. Step 6: Final answer
    x = 6,574.17

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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.