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Finding the Fourth Proportional to 11,590.58, 15,994.95 and 6,285.40

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Solution

The fourth proportional to 11,590.58, 15,994.95 and 6,285.40 is: 8,673.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,590.58 : 15,994.95 = 6,285.40 : x
  2. Step 2: Convert to fraction form
    11,590.58/15,994.95 = 6,285.40/x
  3. Step 3: Cross multiply
    11,590.58x = 15,994.95 × 6,285.40
  4. Step 4: Simplify right side
    11,590.58x = 100,534,658.73
  5. Step 5: Solve for x
    x = 100,534,658.73/11,590.58
  6. Step 6: Final answer
    x = 8,673.82

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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.