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Finding the Fourth Proportional to 9,693.48, 13,366.80 and 7,673.64

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Solution

The fourth proportional to 9,693.48, 13,366.80 and 7,673.64 is: 10,581.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,693.48 : 13,366.80 = 7,673.64 : x
  2. Step 2: Convert to fraction form
    9,693.48/13,366.80 = 7,673.64/x
  3. Step 3: Cross multiply
    9,693.48x = 13,366.80 × 7,673.64
  4. Step 4: Simplify right side
    9,693.48x = 102,572,011.15
  5. Step 5: Solve for x
    x = 102,572,011.15/9,693.48
  6. Step 6: Final answer
    x = 10,581.55

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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.