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Finding the Fourth Proportional to 6,478.07, 9,709.07 and 4,600.96

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Solution

The fourth proportional to 6,478.07, 9,709.07 and 4,600.96 is: 6,895.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,478.07 : 9,709.07 = 4,600.96 : x
  2. Step 2: Convert to fraction form
    6,478.07/9,709.07 = 4,600.96/x
  3. Step 3: Cross multiply
    6,478.07x = 9,709.07 × 4,600.96
  4. Step 4: Simplify right side
    6,478.07x = 44,671,019.70
  5. Step 5: Solve for x
    x = 44,671,019.70/6,478.07
  6. Step 6: Final answer
    x = 6,895.74

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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.