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Finding the Fourth Proportional to 9,684.48, 13,364.64 and 5,492.64

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Solution

The fourth proportional to 9,684.48, 13,364.64 and 5,492.64 is: 7,579.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,684.48 : 13,364.64 = 5,492.64 : x
  2. Step 2: Convert to fraction form
    9,684.48/13,364.64 = 5,492.64/x
  3. Step 3: Cross multiply
    9,684.48x = 13,364.64 × 5,492.64
  4. Step 4: Simplify right side
    9,684.48x = 73,407,156.25
  5. Step 5: Solve for x
    x = 73,407,156.25/9,684.48
  6. Step 6: Final answer
    x = 7,579.88

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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.