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Finding the Fourth Proportional to 4,776.99, 7,165.80 and 1,266.94

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Solution

The fourth proportional to 4,776.99, 7,165.80 and 1,266.94 is: 1,900.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,776.99 : 7,165.80 = 1,266.94 : x
  2. Step 2: Convert to fraction form
    4,776.99/7,165.80 = 1,266.94/x
  3. Step 3: Cross multiply
    4,776.99x = 7,165.80 × 1,266.94
  4. Step 4: Simplify right side
    4,776.99x = 9,078,647.61
  5. Step 5: Solve for x
    x = 9,078,647.61/4,776.99
  6. Step 6: Final answer
    x = 1,900.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.