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Finding the Fourth Proportional to 14,075.12, 19,423 and 8,336.22

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Solution

The fourth proportional to 14,075.12, 19,423 and 8,336.22 is: 11,503.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,075.12 : 19,423 = 8,336.22 : x
  2. Step 2: Convert to fraction form
    14,075.12/19,423 = 8,336.22/x
  3. Step 3: Cross multiply
    14,075.12x = 19,423 × 8,336.22
  4. Step 4: Simplify right side
    14,075.12x = 161,914,401.06
  5. Step 5: Solve for x
    x = 161,914,401.06/14,075.12
  6. Step 6: Final answer
    x = 11,503.59

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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.