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Finding the Fourth Proportional to 6,358.34, 8,774.25 and 3,705.86

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Solution

The fourth proportional to 6,358.34, 8,774.25 and 3,705.86 is: 5,113.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,358.34 : 8,774.25 = 3,705.86 : x
  2. Step 2: Convert to fraction form
    6,358.34/8,774.25 = 3,705.86/x
  3. Step 3: Cross multiply
    6,358.34x = 8,774.25 × 3,705.86
  4. Step 4: Simplify right side
    6,358.34x = 32,516,142.11
  5. Step 5: Solve for x
    x = 32,516,142.11/6,358.34
  6. Step 6: Final answer
    x = 5,113.94

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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.