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Finding the Fourth Proportional to 9,654, 13,334.04 and 6,504.72

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Solution

The fourth proportional to 9,654, 13,334.04 and 6,504.72 is: 8,984.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,654 : 13,334.04 = 6,504.72 : x
  2. Step 2: Convert to fraction form
    9,654/13,334.04 = 6,504.72/x
  3. Step 3: Cross multiply
    9,654x = 13,334.04 × 6,504.72
  4. Step 4: Simplify right side
    9,654x = 86,734,196.67
  5. Step 5: Solve for x
    x = 86,734,196.67/9,654
  6. Step 6: Final answer
    x = 8,984.28

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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.