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Finding the Fourth Proportional to 10,117.90, 13,986.03 and 10,117.90

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Solution

The fourth proportional to 10,117.90, 13,986.03 and 10,117.90 is: 13,986.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,117.90 : 13,986.03 = 10,117.90 : x
  2. Step 2: Convert to fraction form
    10,117.90/13,986.03 = 10,117.90/x
  3. Step 3: Cross multiply
    10,117.90x = 13,986.03 × 10,117.90
  4. Step 4: Simplify right side
    10,117.90x = 141,509,252.94
  5. Step 5: Solve for x
    x = 141,509,252.94/10,117.90
  6. Step 6: Final answer
    x = 13,986.03

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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.