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Finding the Fourth Proportional to 7,590.33, 10,494.23 and 5,827.77

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Solution

The fourth proportional to 7,590.33, 10,494.23 and 5,827.77 is: 8,057.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,590.33 : 10,494.23 = 5,827.77 : x
  2. Step 2: Convert to fraction form
    7,590.33/10,494.23 = 5,827.77/x
  3. Step 3: Cross multiply
    7,590.33x = 10,494.23 × 5,827.77
  4. Step 4: Simplify right side
    7,590.33x = 61,157,929.63
  5. Step 5: Solve for x
    x = 61,157,929.63/7,590.33
  6. Step 6: Final answer
    x = 8,057.35

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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.