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Finding the Fourth Proportional to 6,967.57, 10,442.08 and 6,038.80

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Solution

The fourth proportional to 6,967.57, 10,442.08 and 6,038.80 is: 9,050.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,967.57 : 10,442.08 = 6,038.80 : x
  2. Step 2: Convert to fraction form
    6,967.57/10,442.08 = 6,038.80/x
  3. Step 3: Cross multiply
    6,967.57x = 10,442.08 × 6,038.80
  4. Step 4: Simplify right side
    6,967.57x = 63,057,632.70
  5. Step 5: Solve for x
    x = 63,057,632.70/6,967.57
  6. Step 6: Final answer
    x = 9,050.16

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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.