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Finding the Fourth Proportional to 4,856.34, 7,293.87 and 4,313.22

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Solution

The fourth proportional to 4,856.34, 7,293.87 and 4,313.22 is: 6,478.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,856.34 : 7,293.87 = 4,313.22 : x
  2. Step 2: Convert to fraction form
    4,856.34/7,293.87 = 4,313.22/x
  3. Step 3: Cross multiply
    4,856.34x = 7,293.87 × 4,313.22
  4. Step 4: Simplify right side
    4,856.34x = 31,460,065.96
  5. Step 5: Solve for x
    x = 31,460,065.96/4,856.34
  6. Step 6: Final answer
    x = 6,478.14

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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.