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Finding the Fourth Proportional to 6,457.02, 9,689.22 and 5,374.50

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Solution

The fourth proportional to 6,457.02, 9,689.22 and 5,374.50 is: 8,064.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,457.02 : 9,689.22 = 5,374.50 : x
  2. Step 2: Convert to fraction form
    6,457.02/9,689.22 = 5,374.50/x
  3. Step 3: Cross multiply
    6,457.02x = 9,689.22 × 5,374.50
  4. Step 4: Simplify right side
    6,457.02x = 52,074,712.89
  5. Step 5: Solve for x
    x = 52,074,712.89/6,457.02
  6. Step 6: Final answer
    x = 8,064.82

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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.