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Finding the Fourth Proportional to 12,586, 17,368.68 and 6,998.08

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Solution

The fourth proportional to 12,586, 17,368.68 and 6,998.08 is: 9,657.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,586 : 17,368.68 = 6,998.08 : x
  2. Step 2: Convert to fraction form
    12,586/17,368.68 = 6,998.08/x
  3. Step 3: Cross multiply
    12,586x = 17,368.68 × 6,998.08
  4. Step 4: Simplify right side
    12,586x = 121,547,412.13
  5. Step 5: Solve for x
    x = 121,547,412.13/12,586
  6. Step 6: Final answer
    x = 9,657.35

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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.