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Finding the Fourth Proportional to 13,477.78, 18,596.35 and 7,813.45

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Solution

The fourth proportional to 13,477.78, 18,596.35 and 7,813.45 is: 10,780.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,477.78 : 18,596.35 = 7,813.45 : x
  2. Step 2: Convert to fraction form
    13,477.78/18,596.35 = 7,813.45/x
  3. Step 3: Cross multiply
    13,477.78x = 18,596.35 × 7,813.45
  4. Step 4: Simplify right side
    13,477.78x = 145,301,650.91
  5. Step 5: Solve for x
    x = 145,301,650.91/13,477.78
  6. Step 6: Final answer
    x = 10,780.83

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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.