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Finding the Fourth Proportional to 11,746.86, 16,210.14 and 7,033.74

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Solution

The fourth proportional to 11,746.86, 16,210.14 and 7,033.74 is: 9,706.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,746.86 : 16,210.14 = 7,033.74 : x
  2. Step 2: Convert to fraction form
    11,746.86/16,210.14 = 7,033.74/x
  3. Step 3: Cross multiply
    11,746.86x = 16,210.14 × 7,033.74
  4. Step 4: Simplify right side
    11,746.86x = 114,017,910.12
  5. Step 5: Solve for x
    x = 114,017,910.12/11,746.86
  6. Step 6: Final answer
    x = 9,706.25

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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.