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Finding the Fourth Proportional to 10,509.63, 15,764.72 and 3,588.99

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Solution

The fourth proportional to 10,509.63, 15,764.72 and 3,588.99 is: 5,383.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,509.63 : 15,764.72 = 3,588.99 : x
  2. Step 2: Convert to fraction form
    10,509.63/15,764.72 = 3,588.99/x
  3. Step 3: Cross multiply
    10,509.63x = 15,764.72 × 3,588.99
  4. Step 4: Simplify right side
    10,509.63x = 56,579,404.49
  5. Step 5: Solve for x
    x = 56,579,404.49/10,509.63
  6. Step 6: Final answer
    x = 5,383.58

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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.