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Finding the Fourth Proportional to 11,657.81, 16,085.94 and 6,552.32

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Solution

The fourth proportional to 11,657.81, 16,085.94 and 6,552.32 is: 9,041.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,657.81 : 16,085.94 = 6,552.32 : x
  2. Step 2: Convert to fraction form
    11,657.81/16,085.94 = 6,552.32/x
  3. Step 3: Cross multiply
    11,657.81x = 16,085.94 × 6,552.32
  4. Step 4: Simplify right side
    11,657.81x = 105,400,145.95
  5. Step 5: Solve for x
    x = 105,400,145.95/11,657.81
  6. Step 6: Final answer
    x = 9,041.17

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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.