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Finding the Fourth Proportional to 10,017.71, 13,830.73 and 6,434.11

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Solution

The fourth proportional to 10,017.71, 13,830.73 and 6,434.11 is: 8,883.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,017.71 : 13,830.73 = 6,434.11 : x
  2. Step 2: Convert to fraction form
    10,017.71/13,830.73 = 6,434.11/x
  3. Step 3: Cross multiply
    10,017.71x = 13,830.73 × 6,434.11
  4. Step 4: Simplify right side
    10,017.71x = 88,988,475.60
  5. Step 5: Solve for x
    x = 88,988,475.60/10,017.71
  6. Step 6: Final answer
    x = 8,883.12

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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.