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Finding the Fourth Proportional to 7,028.31, 9,699.92 and 4,509.51

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Solution

The fourth proportional to 7,028.31, 9,699.92 and 4,509.51 is: 6,223.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,028.31 : 9,699.92 = 4,509.51 : x
  2. Step 2: Convert to fraction form
    7,028.31/9,699.92 = 4,509.51/x
  3. Step 3: Cross multiply
    7,028.31x = 9,699.92 × 4,509.51
  4. Step 4: Simplify right side
    7,028.31x = 43,741,886.24
  5. Step 5: Solve for x
    x = 43,741,886.24/7,028.31
  6. Step 6: Final answer
    x = 6,223.67

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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.