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Finding the Fourth Proportional to 7,673.83, 10,590.01 and 4,689.05

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Solution

The fourth proportional to 7,673.83, 10,590.01 and 4,689.05 is: 6,470.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,673.83 : 10,590.01 = 4,689.05 : x
  2. Step 2: Convert to fraction form
    7,673.83/10,590.01 = 4,689.05/x
  3. Step 3: Cross multiply
    7,673.83x = 10,590.01 × 4,689.05
  4. Step 4: Simplify right side
    7,673.83x = 49,657,021.72
  5. Step 5: Solve for x
    x = 49,657,021.72/7,673.83
  6. Step 6: Final answer
    x = 6,470.96

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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.