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Finding the Fourth Proportional to 6,313.70, 8,710.07 and 4,294.64

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Solution

The fourth proportional to 6,313.70, 8,710.07 and 4,294.64 is: 5,924.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,313.70 : 8,710.07 = 4,294.64 : x
  2. Step 2: Convert to fraction form
    6,313.70/8,710.07 = 4,294.64/x
  3. Step 3: Cross multiply
    6,313.70x = 8,710.07 × 4,294.64
  4. Step 4: Simplify right side
    6,313.70x = 37,406,615.33
  5. Step 5: Solve for x
    x = 37,406,615.33/6,313.70
  6. Step 6: Final answer
    x = 5,924.67

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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.