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Finding the Fourth Proportional to 9,937.54, 13,713.14 and 5,461.19

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Solution

The fourth proportional to 9,937.54, 13,713.14 and 5,461.19 is: 7,536.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,937.54 : 13,713.14 = 5,461.19 : x
  2. Step 2: Convert to fraction form
    9,937.54/13,713.14 = 5,461.19/x
  3. Step 3: Cross multiply
    9,937.54x = 13,713.14 × 5,461.19
  4. Step 4: Simplify right side
    9,937.54x = 74,890,083.67
  5. Step 5: Solve for x
    x = 74,890,083.67/9,937.54
  6. Step 6: Final answer
    x = 7,536.08

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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.