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Finding the Fourth Proportional to 9,857.84, 14,781.34 and 6,741.40

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Solution

The fourth proportional to 9,857.84, 14,781.34 and 6,741.40 is: 10,108.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,857.84 : 14,781.34 = 6,741.40 : x
  2. Step 2: Convert to fraction form
    9,857.84/14,781.34 = 6,741.40/x
  3. Step 3: Cross multiply
    9,857.84x = 14,781.34 × 6,741.40
  4. Step 4: Simplify right side
    9,857.84x = 99,646,925.48
  5. Step 5: Solve for x
    x = 99,646,925.48/9,857.84
  6. Step 6: Final answer
    x = 10,108.39

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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.