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Finding the Fourth Proportional to 9,585.72, 14,386.98 and 4,659

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Solution

The fourth proportional to 9,585.72, 14,386.98 and 4,659 is: 6,992.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,585.72 : 14,386.98 = 4,659 : x
  2. Step 2: Convert to fraction form
    9,585.72/14,386.98 = 4,659/x
  3. Step 3: Cross multiply
    9,585.72x = 14,386.98 × 4,659
  4. Step 4: Simplify right side
    9,585.72x = 67,028,939.82
  5. Step 5: Solve for x
    x = 67,028,939.82/9,585.72
  6. Step 6: Final answer
    x = 6,992.58

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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.