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Finding the Fourth Proportional to 10,041.97, 13,857.92 and 6,064.06

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Solution

The fourth proportional to 10,041.97, 13,857.92 and 6,064.06 is: 8,368.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,041.97 : 13,857.92 = 6,064.06 : x
  2. Step 2: Convert to fraction form
    10,041.97/13,857.92 = 6,064.06/x
  3. Step 3: Cross multiply
    10,041.97x = 13,857.92 × 6,064.06
  4. Step 4: Simplify right side
    10,041.97x = 84,035,228.03
  5. Step 5: Solve for x
    x = 84,035,228.03/10,041.97
  6. Step 6: Final answer
    x = 8,368.40

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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.