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Finding the Fourth Proportional to 14,653.98, 21,970.53 and 6,858.54

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Solution

The fourth proportional to 14,653.98, 21,970.53 and 6,858.54 is: 10,282.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,653.98 : 21,970.53 = 6,858.54 : x
  2. Step 2: Convert to fraction form
    14,653.98/21,970.53 = 6,858.54/x
  3. Step 3: Cross multiply
    14,653.98x = 21,970.53 × 6,858.54
  4. Step 4: Simplify right side
    14,653.98x = 150,685,758.83
  5. Step 5: Solve for x
    x = 150,685,758.83/14,653.98
  6. Step 6: Final answer
    x = 10,282.92

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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.