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Finding the Fourth Proportional to 12,514, 17,269.32 and 6,925.84

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Solution

The fourth proportional to 12,514, 17,269.32 and 6,925.84 is: 9,557.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,514 : 17,269.32 = 6,925.84 : x
  2. Step 2: Convert to fraction form
    12,514/17,269.32 = 6,925.84/x
  3. Step 3: Cross multiply
    12,514x = 17,269.32 × 6,925.84
  4. Step 4: Simplify right side
    12,514x = 119,604,547.23
  5. Step 5: Solve for x
    x = 119,604,547.23/12,514
  6. Step 6: Final answer
    x = 9,557.66

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1.5x scale

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.