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Finding the Fourth Proportional to 11,894.95, 16,415.16 and 6,590.08

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Solution

The fourth proportional to 11,894.95, 16,415.16 and 6,590.08 is: 9,094.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,894.95 : 16,415.16 = 6,590.08 : x
  2. Step 2: Convert to fraction form
    11,894.95/16,415.16 = 6,590.08/x
  3. Step 3: Cross multiply
    11,894.95x = 16,415.16 × 6,590.08
  4. Step 4: Simplify right side
    11,894.95x = 108,177,176.57
  5. Step 5: Solve for x
    x = 108,177,176.57/11,894.95
  6. Step 6: Final answer
    x = 9,094.38

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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.