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Finding the Fourth Proportional to 37,585.66, 56,378.49 and 9,881.50

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Solution

The fourth proportional to 37,585.66, 56,378.49 and 9,881.50 is: 14,822.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,585.66 : 56,378.49 = 9,881.50 : x
  2. Step 2: Convert to fraction form
    37,585.66/56,378.49 = 9,881.50/x
  3. Step 3: Cross multiply
    37,585.66x = 56,378.49 × 9,881.50
  4. Step 4: Simplify right side
    37,585.66x = 557,104,048.94
  5. Step 5: Solve for x
    x = 557,104,048.94/37,585.66
  6. Step 6: Final answer
    x = 14,822.25

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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.