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Finding the Fourth Proportional to 9,693, 13,376.46 and 5,501.64

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Solution

The fourth proportional to 9,693, 13,376.46 and 5,501.64 is: 7,592.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,693 : 13,376.46 = 5,501.64 : x
  2. Step 2: Convert to fraction form
    9,693/13,376.46 = 5,501.64/x
  3. Step 3: Cross multiply
    9,693x = 13,376.46 × 5,501.64
  4. Step 4: Simplify right side
    9,693x = 73,592,467.39
  5. Step 5: Solve for x
    x = 73,592,467.39/9,693
  6. Step 6: Final answer
    x = 7,592.33

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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.