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Finding the Fourth Proportional to 4,600.49, 6,899.72 and 1,313.51

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Solution

The fourth proportional to 4,600.49, 6,899.72 and 1,313.51 is: 1,969.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,600.49 : 6,899.72 = 1,313.51 : x
  2. Step 2: Convert to fraction form
    4,600.49/6,899.72 = 1,313.51/x
  3. Step 3: Cross multiply
    4,600.49x = 6,899.72 × 1,313.51
  4. Step 4: Simplify right side
    4,600.49x = 9,062,851.22
  5. Step 5: Solve for x
    x = 9,062,851.22/4,600.49
  6. Step 6: Final answer
    x = 1,969.98

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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.