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Finding the Fourth Proportional to 10,010.66, 13,813.98 and 5,534.46

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Solution

The fourth proportional to 10,010.66, 13,813.98 and 5,534.46 is: 7,637.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,010.66 : 13,813.98 = 5,534.46 : x
  2. Step 2: Convert to fraction form
    10,010.66/13,813.98 = 5,534.46/x
  3. Step 3: Cross multiply
    10,010.66x = 13,813.98 × 5,534.46
  4. Step 4: Simplify right side
    10,010.66x = 76,452,899.00
  5. Step 5: Solve for x
    x = 76,452,899.00/10,010.66
  6. Step 6: Final answer
    x = 7,637.15

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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.