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Finding the Fourth Proportional to 14,072.84, 19,420.85 and 7,700.03

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Solution

The fourth proportional to 14,072.84, 19,420.85 and 7,700.03 is: 10,626.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,072.84 : 19,420.85 = 7,700.03 : x
  2. Step 2: Convert to fraction form
    14,072.84/19,420.85 = 7,700.03/x
  3. Step 3: Cross multiply
    14,072.84x = 19,420.85 × 7,700.03
  4. Step 4: Simplify right side
    14,072.84x = 149,541,127.63
  5. Step 5: Solve for x
    x = 149,541,127.63/14,072.84
  6. Step 6: Final answer
    x = 10,626.22

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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.