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Finding the Fourth Proportional to 37,729.51, 56,594.06 and 9,649.52

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Solution

The fourth proportional to 37,729.51, 56,594.06 and 9,649.52 is: 14,474.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,729.51 : 56,594.06 = 9,649.52 : x
  2. Step 2: Convert to fraction form
    37,729.51/56,594.06 = 9,649.52/x
  3. Step 3: Cross multiply
    37,729.51x = 56,594.06 × 9,649.52
  4. Step 4: Simplify right side
    37,729.51x = 546,105,465.60
  5. Step 5: Solve for x
    x = 546,105,465.60/37,729.51
  6. Step 6: Final answer
    x = 14,474.23

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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.