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Finding the Fourth Proportional to 16,005.40, 24,004.90 and 7,685.40

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Solution

The fourth proportional to 16,005.40, 24,004.90 and 7,685.40 is: 11,526.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,005.40 : 24,004.90 = 7,685.40 : x
  2. Step 2: Convert to fraction form
    16,005.40/24,004.90 = 7,685.40/x
  3. Step 3: Cross multiply
    16,005.40x = 24,004.90 × 7,685.40
  4. Step 4: Simplify right side
    16,005.40x = 184,487,258.46
  5. Step 5: Solve for x
    x = 184,487,258.46/16,005.40
  6. Step 6: Final answer
    x = 11,526.56

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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.