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Finding the Fourth Proportional to 9,855.99, 13,602.51 and 5,877.09

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Solution

The fourth proportional to 9,855.99, 13,602.51 and 5,877.09 is: 8,111.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,855.99 : 13,602.51 = 5,877.09 : x
  2. Step 2: Convert to fraction form
    9,855.99/13,602.51 = 5,877.09/x
  3. Step 3: Cross multiply
    9,855.99x = 13,602.51 × 5,877.09
  4. Step 4: Simplify right side
    9,855.99x = 79,943,175.50
  5. Step 5: Solve for x
    x = 79,943,175.50/9,855.99
  6. Step 6: Final answer
    x = 8,111.13

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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.