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Finding the Fourth Proportional to 11,497.59, 15,830.29 and 10,446.51

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Solution

The fourth proportional to 11,497.59, 15,830.29 and 10,446.51 is: 14,383.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,497.59 : 15,830.29 = 10,446.51 : x
  2. Step 2: Convert to fraction form
    11,497.59/15,830.29 = 10,446.51/x
  3. Step 3: Cross multiply
    11,497.59x = 15,830.29 × 10,446.51
  4. Step 4: Simplify right side
    11,497.59x = 165,371,282.79
  5. Step 5: Solve for x
    x = 165,371,282.79/11,497.59
  6. Step 6: Final answer
    x = 14,383.13

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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.