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Finding the Fourth Proportional to 7,840.52, 10,820.12 and 4,303.94

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Solution

The fourth proportional to 7,840.52, 10,820.12 and 4,303.94 is: 5,939.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,840.52 : 10,820.12 = 4,303.94 : x
  2. Step 2: Convert to fraction form
    7,840.52/10,820.12 = 4,303.94/x
  3. Step 3: Cross multiply
    7,840.52x = 10,820.12 × 4,303.94
  4. Step 4: Simplify right side
    7,840.52x = 46,569,147.27
  5. Step 5: Solve for x
    x = 46,569,147.27/7,840.52
  6. Step 6: Final answer
    x = 5,939.55

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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.