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Finding the Fourth Proportional to 7,159.92, 9,874.08 and 4,771.23

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Solution

The fourth proportional to 7,159.92, 9,874.08 and 4,771.23 is: 6,579.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,159.92 : 9,874.08 = 4,771.23 : x
  2. Step 2: Convert to fraction form
    7,159.92/9,874.08 = 4,771.23/x
  3. Step 3: Cross multiply
    7,159.92x = 9,874.08 × 4,771.23
  4. Step 4: Simplify right side
    7,159.92x = 47,111,506.72
  5. Step 5: Solve for x
    x = 47,111,506.72/7,159.92
  6. Step 6: Final answer
    x = 6,579.89

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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.