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Finding the Fourth Proportional to 6,590, 9,095.91 and 4,573.55

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Solution

The fourth proportional to 6,590, 9,095.91 and 4,573.55 is: 6,312.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,590 : 9,095.91 = 4,573.55 : x
  2. Step 2: Convert to fraction form
    6,590/9,095.91 = 4,573.55/x
  3. Step 3: Cross multiply
    6,590x = 9,095.91 × 4,573.55
  4. Step 4: Simplify right side
    6,590x = 41,600,599.18
  5. Step 5: Solve for x
    x = 41,600,599.18/6,590
  6. Step 6: Final answer
    x = 6,312.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.