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Finding the Fourth Proportional to 14,358.51, 21,506.58 and 6,947.42

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Solution

The fourth proportional to 14,358.51, 21,506.58 and 6,947.42 is: 10,406.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,358.51 : 21,506.58 = 6,947.42 : x
  2. Step 2: Convert to fraction form
    14,358.51/21,506.58 = 6,947.42/x
  3. Step 3: Cross multiply
    14,358.51x = 21,506.58 × 6,947.42
  4. Step 4: Simplify right side
    14,358.51x = 149,415,136.49
  5. Step 5: Solve for x
    x = 149,415,136.49/14,358.51
  6. Step 6: Final answer
    x = 10,406.03

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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.