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Finding the Fourth Proportional to 10,302.93, 14,218.64 and 5,827.11

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Solution

The fourth proportional to 10,302.93, 14,218.64 and 5,827.11 is: 8,041.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,302.93 : 14,218.64 = 5,827.11 : x
  2. Step 2: Convert to fraction form
    10,302.93/14,218.64 = 5,827.11/x
  3. Step 3: Cross multiply
    10,302.93x = 14,218.64 × 5,827.11
  4. Step 4: Simplify right side
    10,302.93x = 82,853,518.73
  5. Step 5: Solve for x
    x = 82,853,518.73/10,302.93
  6. Step 6: Final answer
    x = 8,041.74

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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.