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Finding the Fourth Proportional to 7,801.68, 10,759.32 and 5,006.64

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Solution

The fourth proportional to 7,801.68, 10,759.32 and 5,006.64 is: 6,904.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,801.68 : 10,759.32 = 5,006.64 : x
  2. Step 2: Convert to fraction form
    7,801.68/10,759.32 = 5,006.64/x
  3. Step 3: Cross multiply
    7,801.68x = 10,759.32 × 5,006.64
  4. Step 4: Simplify right side
    7,801.68x = 53,868,041.88
  5. Step 5: Solve for x
    x = 53,868,041.88/7,801.68
  6. Step 6: Final answer
    x = 6,904.67

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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.