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Finding the Fourth Proportional to 13,000.92, 19,503.72 and 6,075.42

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Solution

The fourth proportional to 13,000.92, 19,503.72 and 6,075.42 is: 9,114.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,000.92 : 19,503.72 = 6,075.42 : x
  2. Step 2: Convert to fraction form
    13,000.92/19,503.72 = 6,075.42/x
  3. Step 3: Cross multiply
    13,000.92x = 19,503.72 × 6,075.42
  4. Step 4: Simplify right side
    13,000.92x = 118,493,290.56
  5. Step 5: Solve for x
    x = 118,493,290.56/13,000.92
  6. Step 6: Final answer
    x = 9,114.22

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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.