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Finding the Fourth Proportional to 14,116.66, 19,480.44 and 7,828.90

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Solution

The fourth proportional to 14,116.66, 19,480.44 and 7,828.90 is: 10,803.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,116.66 : 19,480.44 = 7,828.90 : x
  2. Step 2: Convert to fraction form
    14,116.66/19,480.44 = 7,828.90/x
  3. Step 3: Cross multiply
    14,116.66x = 19,480.44 × 7,828.90
  4. Step 4: Simplify right side
    14,116.66x = 152,510,416.72
  5. Step 5: Solve for x
    x = 152,510,416.72/14,116.66
  6. Step 6: Final answer
    x = 10,803.58

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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.