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Finding the Fourth Proportional to 14,095.28, 19,450.68 and 7,807.28

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Solution

The fourth proportional to 14,095.28, 19,450.68 and 7,807.28 is: 10,773.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,095.28 : 19,450.68 = 7,807.28 : x
  2. Step 2: Convert to fraction form
    14,095.28/19,450.68 = 7,807.28/x
  3. Step 3: Cross multiply
    14,095.28x = 19,450.68 × 7,807.28
  4. Step 4: Simplify right side
    14,095.28x = 151,856,904.95
  5. Step 5: Solve for x
    x = 151,856,904.95/14,095.28
  6. Step 6: Final answer
    x = 10,773.60

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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.