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Finding the Fourth Proportional to 7,676.80, 10,590.10 and 4,488.02

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Solution

The fourth proportional to 7,676.80, 10,590.10 and 4,488.02 is: 6,191.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,676.80 : 10,590.10 = 4,488.02 : x
  2. Step 2: Convert to fraction form
    7,676.80/10,590.10 = 4,488.02/x
  3. Step 3: Cross multiply
    7,676.80x = 10,590.10 × 4,488.02
  4. Step 4: Simplify right side
    7,676.80x = 47,528,580.25
  5. Step 5: Solve for x
    x = 47,528,580.25/7,676.80
  6. Step 6: Final answer
    x = 6,191.19

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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.