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Finding the Fourth Proportional to 37,343.16, 56,014.74 and 9,639

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Solution

The fourth proportional to 37,343.16, 56,014.74 and 9,639 is: 14,458.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,343.16 : 56,014.74 = 9,639 : x
  2. Step 2: Convert to fraction form
    37,343.16/56,014.74 = 9,639/x
  3. Step 3: Cross multiply
    37,343.16x = 56,014.74 × 9,639
  4. Step 4: Simplify right side
    37,343.16x = 539,926,078.86
  5. Step 5: Solve for x
    x = 539,926,078.86/37,343.16
  6. Step 6: Final answer
    x = 14,458.50

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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.