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Finding the Fourth Proportional to 4,600.53, 6,900.83 and 1,313.66

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Solution

The fourth proportional to 4,600.53, 6,900.83 and 1,313.66 is: 1,970.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,600.53 : 6,900.83 = 1,313.66 : x
  2. Step 2: Convert to fraction form
    4,600.53/6,900.83 = 1,313.66/x
  3. Step 3: Cross multiply
    4,600.53x = 6,900.83 × 1,313.66
  4. Step 4: Simplify right side
    4,600.53x = 9,065,303.27
  5. Step 5: Solve for x
    x = 9,065,303.27/4,600.53
  6. Step 6: Final answer
    x = 1,970.49

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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.