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Finding the Fourth Proportional to 7,807.76, 10,774.55 and 4,270.85

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Solution

The fourth proportional to 7,807.76, 10,774.55 and 4,270.85 is: 5,893.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,807.76 : 10,774.55 = 4,270.85 : x
  2. Step 2: Convert to fraction form
    7,807.76/10,774.55 = 4,270.85/x
  3. Step 3: Cross multiply
    7,807.76x = 10,774.55 × 4,270.85
  4. Step 4: Simplify right side
    7,807.76x = 46,016,465.51
  5. Step 5: Solve for x
    x = 46,016,465.51/7,807.76
  6. Step 6: Final answer
    x = 5,893.68

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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.