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Finding the Fourth Proportional to 11,646.76, 17,437.33 and 10,465.78

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Solution

The fourth proportional to 11,646.76, 17,437.33 and 10,465.78 is: 15,669.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,646.76 : 17,437.33 = 10,465.78 : x
  2. Step 2: Convert to fraction form
    11,646.76/17,437.33 = 10,465.78/x
  3. Step 3: Cross multiply
    11,646.76x = 17,437.33 × 10,465.78
  4. Step 4: Simplify right side
    11,646.76x = 182,495,209.43
  5. Step 5: Solve for x
    x = 182,495,209.43/11,646.76
  6. Step 6: Final answer
    x = 15,669.19

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.