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Finding the Fourth Proportional to 13,700.80, 18,904.16 and 8,034.40

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Solution

The fourth proportional to 13,700.80, 18,904.16 and 8,034.40 is: 11,085.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,700.80 : 18,904.16 = 8,034.40 : x
  2. Step 2: Convert to fraction form
    13,700.80/18,904.16 = 8,034.40/x
  3. Step 3: Cross multiply
    13,700.80x = 18,904.16 × 8,034.40
  4. Step 4: Simplify right side
    13,700.80x = 151,883,583.10
  5. Step 5: Solve for x
    x = 151,883,583.10/13,700.80
  6. Step 6: Final answer
    x = 11,085.75

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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.