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Finding the Fourth Proportional to 6,457.90, 8,909.74 and 3,768.50

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Solution

The fourth proportional to 6,457.90, 8,909.74 and 3,768.50 is: 5,199.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,457.90 : 8,909.74 = 3,768.50 : x
  2. Step 2: Convert to fraction form
    6,457.90/8,909.74 = 3,768.50/x
  3. Step 3: Cross multiply
    6,457.90x = 8,909.74 × 3,768.50
  4. Step 4: Simplify right side
    6,457.90x = 33,576,355.19
  5. Step 5: Solve for x
    x = 33,576,355.19/6,457.90
  6. Step 6: Final answer
    x = 5,199.27

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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.