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Finding the Fourth Proportional to 6,313.24, 9,455.28 and 6,094.54

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Solution

The fourth proportional to 6,313.24, 9,455.28 and 6,094.54 is: 9,127.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,313.24 : 9,455.28 = 6,094.54 : x
  2. Step 2: Convert to fraction form
    6,313.24/9,455.28 = 6,094.54/x
  3. Step 3: Cross multiply
    6,313.24x = 9,455.28 × 6,094.54
  4. Step 4: Simplify right side
    6,313.24x = 57,625,582.17
  5. Step 5: Solve for x
    x = 57,625,582.17/6,313.24
  6. Step 6: Final answer
    x = 9,127.74

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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.