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Finding the Fourth Proportional to 30,424.96, 45,638.16 and 9,648.64

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Solution

The fourth proportional to 30,424.96, 45,638.16 and 9,648.64 is: 14,473.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,424.96 : 45,638.16 = 9,648.64 : x
  2. Step 2: Convert to fraction form
    30,424.96/45,638.16 = 9,648.64/x
  3. Step 3: Cross multiply
    30,424.96x = 45,638.16 × 9,648.64
  4. Step 4: Simplify right side
    30,424.96x = 440,346,176.10
  5. Step 5: Solve for x
    x = 440,346,176.10/30,424.96
  6. Step 6: Final answer
    x = 14,473.19

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.