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Finding the Fourth Proportional to 6,588.63, 9,076.91 and 4,595.63

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Solution

The fourth proportional to 6,588.63, 9,076.91 and 4,595.63 is: 6,331.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,588.63 : 9,076.91 = 4,595.63 : x
  2. Step 2: Convert to fraction form
    6,588.63/9,076.91 = 4,595.63/x
  3. Step 3: Cross multiply
    6,588.63x = 9,076.91 × 4,595.63
  4. Step 4: Simplify right side
    6,588.63x = 41,714,051.54
  5. Step 5: Solve for x
    x = 41,714,051.54/6,588.63
  6. Step 6: Final answer
    x = 6,331.22

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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.