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Finding the Fourth Proportional to 12,690.51, 17,514.54 and 7,657.45

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Solution

The fourth proportional to 12,690.51, 17,514.54 and 7,657.45 is: 10,568.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,690.51 : 17,514.54 = 7,657.45 : x
  2. Step 2: Convert to fraction form
    12,690.51/17,514.54 = 7,657.45/x
  3. Step 3: Cross multiply
    12,690.51x = 17,514.54 × 7,657.45
  4. Step 4: Simplify right side
    12,690.51x = 134,116,714.32
  5. Step 5: Solve for x
    x = 134,116,714.32/12,690.51
  6. Step 6: Final answer
    x = 10,568.27

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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.