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Finding the Fourth Proportional to 37,585.50, 56,381.58 and 9,883.50

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Solution

The fourth proportional to 37,585.50, 56,381.58 and 9,883.50 is: 14,826.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,585.50 : 56,381.58 = 9,883.50 : x
  2. Step 2: Convert to fraction form
    37,585.50/56,381.58 = 9,883.50/x
  3. Step 3: Cross multiply
    37,585.50x = 56,381.58 × 9,883.50
  4. Step 4: Simplify right side
    37,585.50x = 557,247,345.93
  5. Step 5: Solve for x
    x = 557,247,345.93/37,585.50
  6. Step 6: Final answer
    x = 14,826.13

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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.