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Finding the Fourth Proportional to 6,742.36, 9,313.53 and 6,113.59

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Solution

The fourth proportional to 6,742.36, 9,313.53 and 6,113.59 is: 8,444.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,742.36 : 9,313.53 = 6,113.59 : x
  2. Step 2: Convert to fraction form
    6,742.36/9,313.53 = 6,113.59/x
  3. Step 3: Cross multiply
    6,742.36x = 9,313.53 × 6,113.59
  4. Step 4: Simplify right side
    6,742.36x = 56,939,103.87
  5. Step 5: Solve for x
    x = 56,939,103.87/6,742.36
  6. Step 6: Final answer
    x = 8,444.98

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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.