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Finding the Fourth Proportional to 6,005.93, 9,009.02 and 1,563.77

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Solution

The fourth proportional to 6,005.93, 9,009.02 and 1,563.77 is: 2,345.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,005.93 : 9,009.02 = 1,563.77 : x
  2. Step 2: Convert to fraction form
    6,005.93/9,009.02 = 1,563.77/x
  3. Step 3: Cross multiply
    6,005.93x = 9,009.02 × 1,563.77
  4. Step 4: Simplify right side
    6,005.93x = 14,088,035.21
  5. Step 5: Solve for x
    x = 14,088,035.21/6,005.93
  6. Step 6: Final answer
    x = 2,345.69

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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.