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Finding the Fourth Proportional to 5,663.12, 7,784.91 and 5,059.28

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Solution

The fourth proportional to 5,663.12, 7,784.91 and 5,059.28 is: 6,954.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,663.12 : 7,784.91 = 5,059.28 : x
  2. Step 2: Convert to fraction form
    5,663.12/7,784.91 = 5,059.28/x
  3. Step 3: Cross multiply
    5,663.12x = 7,784.91 × 5,059.28
  4. Step 4: Simplify right side
    5,663.12x = 39,386,014.17
  5. Step 5: Solve for x
    x = 39,386,014.17/5,663.12
  6. Step 6: Final answer
    x = 6,954.83

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.