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Finding the Fourth Proportional to 7,007.70, 9,664.26 and 4,645.74

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Solution

The fourth proportional to 7,007.70, 9,664.26 and 4,645.74 is: 6,406.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,007.70 : 9,664.26 = 4,645.74 : x
  2. Step 2: Convert to fraction form
    7,007.70/9,664.26 = 4,645.74/x
  3. Step 3: Cross multiply
    7,007.70x = 9,664.26 × 4,645.74
  4. Step 4: Simplify right side
    7,007.70x = 44,897,639.25
  5. Step 5: Solve for x
    x = 44,897,639.25/7,007.70
  6. Step 6: Final answer
    x = 6,406.90

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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.