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Finding the Fourth Proportional to 6,271.76, 9,407.64 and 2,804.24

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Solution

The fourth proportional to 6,271.76, 9,407.64 and 2,804.24 is: 4,206.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,271.76 : 9,407.64 = 2,804.24 : x
  2. Step 2: Convert to fraction form
    6,271.76/9,407.64 = 2,804.24/x
  3. Step 3: Cross multiply
    6,271.76x = 9,407.64 × 2,804.24
  4. Step 4: Simplify right side
    6,271.76x = 26,381,280.39
  5. Step 5: Solve for x
    x = 26,381,280.39/6,271.76
  6. Step 6: Final answer
    x = 4,206.36

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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.