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Finding the Fourth Proportional to 11,888.94, 16,406.74 and 6,583.76

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Solution

The fourth proportional to 11,888.94, 16,406.74 and 6,583.76 is: 9,085.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,888.94 : 16,406.74 = 6,583.76 : x
  2. Step 2: Convert to fraction form
    11,888.94/16,406.74 = 6,583.76/x
  3. Step 3: Cross multiply
    11,888.94x = 16,406.74 × 6,583.76
  4. Step 4: Simplify right side
    11,888.94x = 108,017,943.09
  5. Step 5: Solve for x
    x = 108,017,943.09/11,888.94
  6. Step 6: Final answer
    x = 9,085.58

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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.