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Finding the Fourth Proportional to 7,129.93, 9,834.67 and 4,573.64

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Solution

The fourth proportional to 7,129.93, 9,834.67 and 4,573.64 is: 6,308.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,129.93 : 9,834.67 = 4,573.64 : x
  2. Step 2: Convert to fraction form
    7,129.93/9,834.67 = 4,573.64/x
  3. Step 3: Cross multiply
    7,129.93x = 9,834.67 × 4,573.64
  4. Step 4: Simplify right side
    7,129.93x = 44,980,217.23
  5. Step 5: Solve for x
    x = 44,980,217.23/7,129.93
  6. Step 6: Final answer
    x = 6,308.65

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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.