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Finding the Fourth Proportional to 9,740.82, 13,443 and 5,549.06

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Solution

The fourth proportional to 9,740.82, 13,443 and 5,549.06 is: 7,658.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,740.82 : 13,443 = 5,549.06 : x
  2. Step 2: Convert to fraction form
    9,740.82/13,443 = 5,549.06/x
  3. Step 3: Cross multiply
    9,740.82x = 13,443 × 5,549.06
  4. Step 4: Simplify right side
    9,740.82x = 74,596,013.58
  5. Step 5: Solve for x
    x = 74,596,013.58/9,740.82
  6. Step 6: Final answer
    x = 7,658.08

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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.