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Finding the Fourth Proportional to 9,901.86, 14,854.14 and 3,661.08

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Solution

The fourth proportional to 9,901.86, 14,854.14 and 3,661.08 is: 5,492.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,901.86 : 14,854.14 = 3,661.08 : x
  2. Step 2: Convert to fraction form
    9,901.86/14,854.14 = 3,661.08/x
  3. Step 3: Cross multiply
    9,901.86x = 14,854.14 × 3,661.08
  4. Step 4: Simplify right side
    9,901.86x = 54,382,194.87
  5. Step 5: Solve for x
    x = 54,382,194.87/9,901.86
  6. Step 6: Final answer
    x = 5,492.12

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.