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Finding the Fourth Proportional to 17,437.64, 26,141.76 and 7,569.50

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Solution

The fourth proportional to 17,437.64, 26,141.76 and 7,569.50 is: 11,347.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,437.64 : 26,141.76 = 7,569.50 : x
  2. Step 2: Convert to fraction form
    17,437.64/26,141.76 = 7,569.50/x
  3. Step 3: Cross multiply
    17,437.64x = 26,141.76 × 7,569.50
  4. Step 4: Simplify right side
    17,437.64x = 197,879,921.61
  5. Step 5: Solve for x
    x = 197,879,921.61/17,437.64
  6. Step 6: Final answer
    x = 11,347.86

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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.