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Finding the Fourth Proportional to 9,051.54, 13,582.77 and 5,765.77

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Solution

The fourth proportional to 9,051.54, 13,582.77 and 5,765.77 is: 8,652.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,051.54 : 13,582.77 = 5,765.77 : x
  2. Step 2: Convert to fraction form
    9,051.54/13,582.77 = 5,765.77/x
  3. Step 3: Cross multiply
    9,051.54x = 13,582.77 × 5,765.77
  4. Step 4: Simplify right side
    9,051.54x = 78,315,127.78
  5. Step 5: Solve for x
    x = 78,315,127.78/9,051.54
  6. Step 6: Final answer
    x = 8,652.13

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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.