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Finding the Fourth Proportional to 9,490.80, 14,252.40 and 5,116.80

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Solution

The fourth proportional to 9,490.80, 14,252.40 and 5,116.80 is: 7,683.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,490.80 : 14,252.40 = 5,116.80 : x
  2. Step 2: Convert to fraction form
    9,490.80/14,252.40 = 5,116.80/x
  3. Step 3: Cross multiply
    9,490.80x = 14,252.40 × 5,116.80
  4. Step 4: Simplify right side
    9,490.80x = 72,926,680.32
  5. Step 5: Solve for x
    x = 72,926,680.32/9,490.80
  6. Step 6: Final answer
    x = 7,683.93

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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.