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Finding the Fourth Proportional to 14,113.64, 19,476.36 and 7,826.48

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Solution

The fourth proportional to 14,113.64, 19,476.36 and 7,826.48 is: 10,800.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,113.64 : 19,476.36 = 7,826.48 : x
  2. Step 2: Convert to fraction form
    14,113.64/19,476.36 = 7,826.48/x
  3. Step 3: Cross multiply
    14,113.64x = 19,476.36 × 7,826.48
  4. Step 4: Simplify right side
    14,113.64x = 152,431,342.01
  5. Step 5: Solve for x
    x = 152,431,342.01/14,113.64
  6. Step 6: Final answer
    x = 10,800.29

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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.