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Finding the Fourth Proportional to 11,602.31, 17,417.93 and 11,549

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Solution

The fourth proportional to 11,602.31, 17,417.93 and 11,549 is: 17,337.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,602.31 : 17,417.93 = 11,549 : x
  2. Step 2: Convert to fraction form
    11,602.31/17,417.93 = 11,549/x
  3. Step 3: Cross multiply
    11,602.31x = 17,417.93 × 11,549
  4. Step 4: Simplify right side
    11,602.31x = 201,159,615.83
  5. Step 5: Solve for x
    x = 201,159,615.83/11,602.31
  6. Step 6: Final answer
    x = 17,337.90

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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.