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Finding the Fourth Proportional to 9,838.59, 13,580.10 and 6,011.61

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Solution

The fourth proportional to 9,838.59, 13,580.10 and 6,011.61 is: 8,297.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,838.59 : 13,580.10 = 6,011.61 : x
  2. Step 2: Convert to fraction form
    9,838.59/13,580.10 = 6,011.61/x
  3. Step 3: Cross multiply
    9,838.59x = 13,580.10 × 6,011.61
  4. Step 4: Simplify right side
    9,838.59x = 81,638,264.96
  5. Step 5: Solve for x
    x = 81,638,264.96/9,838.59
  6. Step 6: Final answer
    x = 8,297.76

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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.