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Finding the Fourth Proportional to 8,509.94, 11,741.98 and 4,972.47

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Solution

The fourth proportional to 8,509.94, 11,741.98 and 4,972.47 is: 6,860.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,509.94 : 11,741.98 = 4,972.47 : x
  2. Step 2: Convert to fraction form
    8,509.94/11,741.98 = 4,972.47/x
  3. Step 3: Cross multiply
    8,509.94x = 11,741.98 × 4,972.47
  4. Step 4: Simplify right side
    8,509.94x = 58,386,601.50
  5. Step 5: Solve for x
    x = 58,386,601.50/8,509.94
  6. Step 6: Final answer
    x = 6,860.99

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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.