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Finding the Fourth Proportional to 7,807.09, 10,774.01 and 4,270.49

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Solution

The fourth proportional to 7,807.09, 10,774.01 and 4,270.49 is: 5,893.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,807.09 : 10,774.01 = 4,270.49 : x
  2. Step 2: Convert to fraction form
    7,807.09/10,774.01 = 4,270.49/x
  3. Step 3: Cross multiply
    7,807.09x = 10,774.01 × 4,270.49
  4. Step 4: Simplify right side
    7,807.09x = 46,010,301.96
  5. Step 5: Solve for x
    x = 46,010,301.96/7,807.09
  6. Step 6: Final answer
    x = 5,893.40

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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.