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Finding the Fourth Proportional to 6,184.76, 9,277.16 and 1,567.76

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Solution

The fourth proportional to 6,184.76, 9,277.16 and 1,567.76 is: 2,351.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,184.76 : 9,277.16 = 1,567.76 : x
  2. Step 2: Convert to fraction form
    6,184.76/9,277.16 = 1,567.76/x
  3. Step 3: Cross multiply
    6,184.76x = 9,277.16 × 1,567.76
  4. Step 4: Simplify right side
    6,184.76x = 14,544,360.36
  5. Step 5: Solve for x
    x = 14,544,360.36/6,184.76
  6. Step 6: Final answer
    x = 2,351.65

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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.