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Finding the Fourth Proportional to 4,602.56, 6,901.83 and 1,314.92

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Solution

The fourth proportional to 4,602.56, 6,901.83 and 1,314.92 is: 1,971.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,602.56 : 6,901.83 = 1,314.92 : x
  2. Step 2: Convert to fraction form
    4,602.56/6,901.83 = 1,314.92/x
  3. Step 3: Cross multiply
    4,602.56x = 6,901.83 × 1,314.92
  4. Step 4: Simplify right side
    4,602.56x = 9,075,354.30
  5. Step 5: Solve for x
    x = 9,075,354.30/4,602.56
  6. Step 6: Final answer
    x = 1,971.81

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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.