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Finding the Fourth Proportional to 11,590.71, 15,995.10 and 6,285.54

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Solution

The fourth proportional to 11,590.71, 15,995.10 and 6,285.54 is: 8,674.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,590.71 : 15,995.10 = 6,285.54 : x
  2. Step 2: Convert to fraction form
    11,590.71/15,995.10 = 6,285.54/x
  3. Step 3: Cross multiply
    11,590.71x = 15,995.10 × 6,285.54
  4. Step 4: Simplify right side
    11,590.71x = 100,537,840.85
  5. Step 5: Solve for x
    x = 100,537,840.85/11,590.71
  6. Step 6: Final answer
    x = 8,674.00

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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.