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Finding the Fourth Proportional to 6,368.00, 9,538.07 and 4,513.50

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Solution

The fourth proportional to 6,368.00, 9,538.07 and 4,513.50 is: 6,760.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,368.00 : 9,538.07 = 4,513.50 : x
  2. Step 2: Convert to fraction form
    6,368.00/9,538.07 = 4,513.50/x
  3. Step 3: Cross multiply
    6,368.00x = 9,538.07 × 4,513.50
  4. Step 4: Simplify right side
    6,368.00x = 43,050,035.90
  5. Step 5: Solve for x
    x = 43,050,035.90/6,368.00
  6. Step 6: Final answer
    x = 6,760.36

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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.