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Finding the Fourth Proportional to 7,807.08, 10,774 and 4,270.50

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Solution

The fourth proportional to 7,807.08, 10,774 and 4,270.50 is: 5,893.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,807.08 : 10,774 = 4,270.50 : x
  2. Step 2: Convert to fraction form
    7,807.08/10,774 = 4,270.50/x
  3. Step 3: Cross multiply
    7,807.08x = 10,774 × 4,270.50
  4. Step 4: Simplify right side
    7,807.08x = 46,010,367
  5. Step 5: Solve for x
    x = 46,010,367/7,807.08
  6. Step 6: Final answer
    x = 5,893.42

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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.