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Finding the Fourth Proportional to 9,733, 13,431.54 and 6,009.16

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Solution

The fourth proportional to 9,733, 13,431.54 and 6,009.16 is: 8,292.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,733 : 13,431.54 = 6,009.16 : x
  2. Step 2: Convert to fraction form
    9,733/13,431.54 = 6,009.16/x
  3. Step 3: Cross multiply
    9,733x = 13,431.54 × 6,009.16
  4. Step 4: Simplify right side
    9,733x = 80,712,272.91
  5. Step 5: Solve for x
    x = 80,712,272.91/9,733
  6. Step 6: Final answer
    x = 8,292.64

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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.