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Finding the Fourth Proportional to 6,586.74, 9,089.51 and 3,602.51

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Solution

The fourth proportional to 6,586.74, 9,089.51 and 3,602.51 is: 4,971.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,586.74 : 9,089.51 = 3,602.51 : x
  2. Step 2: Convert to fraction form
    6,586.74/9,089.51 = 3,602.51/x
  3. Step 3: Cross multiply
    6,586.74x = 9,089.51 × 3,602.51
  4. Step 4: Simplify right side
    6,586.74x = 32,745,051.85
  5. Step 5: Solve for x
    x = 32,745,051.85/6,586.74
  6. Step 6: Final answer
    x = 4,971.36

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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.