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Finding the Fourth Proportional to 9,827.47, 13,536.08 and 7,554.47

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Solution

The fourth proportional to 9,827.47, 13,536.08 and 7,554.47 is: 10,405.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,827.47 : 13,536.08 = 7,554.47 : x
  2. Step 2: Convert to fraction form
    9,827.47/13,536.08 = 7,554.47/x
  3. Step 3: Cross multiply
    9,827.47x = 13,536.08 × 7,554.47
  4. Step 4: Simplify right side
    9,827.47x = 102,257,910.28
  5. Step 5: Solve for x
    x = 102,257,910.28/9,827.47
  6. Step 6: Final answer
    x = 10,405.31

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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.