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Finding the Fourth Proportional to 8,570, 11,827.08 and 4,844.24

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Solution

The fourth proportional to 8,570, 11,827.08 and 4,844.24 is: 6,685.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,570 : 11,827.08 = 4,844.24 : x
  2. Step 2: Convert to fraction form
    8,570/11,827.08 = 4,844.24/x
  3. Step 3: Cross multiply
    8,570x = 11,827.08 × 4,844.24
  4. Step 4: Simplify right side
    8,570x = 57,293,214.02
  5. Step 5: Solve for x
    x = 57,293,214.02/8,570
  6. Step 6: Final answer
    x = 6,685.32

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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.