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Finding the Fourth Proportional to 14,137.70, 21,206.55 and 7,225.70

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Solution

The fourth proportional to 14,137.70, 21,206.55 and 7,225.70 is: 10,838.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,137.70 : 21,206.55 = 7,225.70 : x
  2. Step 2: Convert to fraction form
    14,137.70/21,206.55 = 7,225.70/x
  3. Step 3: Cross multiply
    14,137.70x = 21,206.55 × 7,225.70
  4. Step 4: Simplify right side
    14,137.70x = 153,232,168.34
  5. Step 5: Solve for x
    x = 153,232,168.34/14,137.70
  6. Step 6: Final answer
    x = 10,838.55

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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.