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Finding the Fourth Proportional to 10,656.63, 16,042.52 and 9,585

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Solution

The fourth proportional to 10,656.63, 16,042.52 and 9,585 is: 14,429.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,656.63 : 16,042.52 = 9,585 : x
  2. Step 2: Convert to fraction form
    10,656.63/16,042.52 = 9,585/x
  3. Step 3: Cross multiply
    10,656.63x = 16,042.52 × 9,585
  4. Step 4: Simplify right side
    10,656.63x = 153,767,578.16
  5. Step 5: Solve for x
    x = 153,767,578.16/10,656.63
  6. Step 6: Final answer
    x = 14,429.29

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.