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Finding the Fourth Proportional to 14,124.64, 19,491.54 and 7,837.48

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Solution

The fourth proportional to 14,124.64, 19,491.54 and 7,837.48 is: 10,815.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,124.64 : 19,491.54 = 7,837.48 : x
  2. Step 2: Convert to fraction form
    14,124.64/19,491.54 = 7,837.48/x
  3. Step 3: Cross multiply
    14,124.64x = 19,491.54 × 7,837.48
  4. Step 4: Simplify right side
    14,124.64x = 152,764,554.92
  5. Step 5: Solve for x
    x = 152,764,554.92/14,124.64
  6. Step 6: Final answer
    x = 10,815.47

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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.