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Finding the Fourth Proportional to 8,038.26, 12,075.93 and 7,706.12

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Solution

The fourth proportional to 8,038.26, 12,075.93 and 7,706.12 is: 11,576.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,038.26 : 12,075.93 = 7,706.12 : x
  2. Step 2: Convert to fraction form
    8,038.26/12,075.93 = 7,706.12/x
  3. Step 3: Cross multiply
    8,038.26x = 12,075.93 × 7,706.12
  4. Step 4: Simplify right side
    8,038.26x = 93,058,505.31
  5. Step 5: Solve for x
    x = 93,058,505.31/8,038.26
  6. Step 6: Final answer
    x = 11,576.95

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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.