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Finding the Fourth Proportional to 9,673.56, 13,346.32 and 5,424

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Solution

The fourth proportional to 9,673.56, 13,346.32 and 5,424 is: 7,483.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,673.56 : 13,346.32 = 5,424 : x
  2. Step 2: Convert to fraction form
    9,673.56/13,346.32 = 5,424/x
  3. Step 3: Cross multiply
    9,673.56x = 13,346.32 × 5,424
  4. Step 4: Simplify right side
    9,673.56x = 72,390,439.68
  5. Step 5: Solve for x
    x = 72,390,439.68/9,673.56
  6. Step 6: Final answer
    x = 7,483.33

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Double scale
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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.