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Finding the Fourth Proportional to 6,594, 9,891 and 1,730

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Solution

The fourth proportional to 6,594, 9,891 and 1,730 is: 2,595

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,594 : 9,891 = 1,730 : x
  2. Step 2: Convert to fraction form
    6,594/9,891 = 1,730/x
  3. Step 3: Cross multiply
    6,594x = 9,891 × 1,730
  4. Step 4: Simplify right side
    6,594x = 17,111,430
  5. Step 5: Solve for x
    x = 17,111,430/6,594
  6. Step 6: Final answer
    x = 2,595

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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.