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Finding the Fourth Proportional to 9,857.63, 14,780.76 and 6,741.41

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Solution

The fourth proportional to 9,857.63, 14,780.76 and 6,741.41 is: 10,108.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,857.63 : 14,780.76 = 6,741.41 : x
  2. Step 2: Convert to fraction form
    9,857.63/14,780.76 = 6,741.41/x
  3. Step 3: Cross multiply
    9,857.63x = 14,780.76 × 6,741.41
  4. Step 4: Simplify right side
    9,857.63x = 99,643,166.19
  5. Step 5: Solve for x
    x = 99,643,166.19/9,857.63
  6. Step 6: Final answer
    x = 10,108.23

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.