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Finding the Fourth Proportional to 6,346.34, 9,498.78 and 5,740.10

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Solution

The fourth proportional to 6,346.34, 9,498.78 and 5,740.10 is: 8,591.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,346.34 : 9,498.78 = 5,740.10 : x
  2. Step 2: Convert to fraction form
    6,346.34/9,498.78 = 5,740.10/x
  3. Step 3: Cross multiply
    6,346.34x = 9,498.78 × 5,740.10
  4. Step 4: Simplify right side
    6,346.34x = 54,523,899.58
  5. Step 5: Solve for x
    x = 54,523,899.58/6,346.34
  6. Step 6: Final answer
    x = 8,591.40

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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.