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Finding the Fourth Proportional to 9,840.09, 14,730.89 and 9,827.13

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Solution

The fourth proportional to 9,840.09, 14,730.89 and 9,827.13 is: 14,711.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,840.09 : 14,730.89 = 9,827.13 : x
  2. Step 2: Convert to fraction form
    9,840.09/14,730.89 = 9,827.13/x
  3. Step 3: Cross multiply
    9,840.09x = 14,730.89 × 9,827.13
  4. Step 4: Simplify right side
    9,840.09x = 144,762,321.91
  5. Step 5: Solve for x
    x = 144,762,321.91/9,840.09
  6. Step 6: Final answer
    x = 14,711.48

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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.