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Finding the Fourth Proportional to 16,088.58, 24,128.01 and 9,513

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Solution

The fourth proportional to 16,088.58, 24,128.01 and 9,513 is: 14,266.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,088.58 : 24,128.01 = 9,513 : x
  2. Step 2: Convert to fraction form
    16,088.58/24,128.01 = 9,513/x
  3. Step 3: Cross multiply
    16,088.58x = 24,128.01 × 9,513
  4. Step 4: Simplify right side
    16,088.58x = 229,529,759.13
  5. Step 5: Solve for x
    x = 229,529,759.13/16,088.58
  6. Step 6: Final answer
    x = 14,266.63

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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.