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Finding the Fourth Proportional to 14,116.92, 19,482 and 7,828.92

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Solution

The fourth proportional to 14,116.92, 19,482 and 7,828.92 is: 10,804.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,116.92 : 19,482 = 7,828.92 : x
  2. Step 2: Convert to fraction form
    14,116.92/19,482 = 7,828.92/x
  3. Step 3: Cross multiply
    14,116.92x = 19,482 × 7,828.92
  4. Step 4: Simplify right side
    14,116.92x = 152,523,019.44
  5. Step 5: Solve for x
    x = 152,523,019.44/14,116.92
  6. Step 6: Final answer
    x = 10,804.27

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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.