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Finding the Fourth Proportional to 24,762.86, 37,143.93 and 9,971.40

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Solution

The fourth proportional to 24,762.86, 37,143.93 and 9,971.40 is: 14,956.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,762.86 : 37,143.93 = 9,971.40 : x
  2. Step 2: Convert to fraction form
    24,762.86/37,143.93 = 9,971.40/x
  3. Step 3: Cross multiply
    24,762.86x = 37,143.93 × 9,971.40
  4. Step 4: Simplify right side
    24,762.86x = 370,376,983.60
  5. Step 5: Solve for x
    x = 370,376,983.60/24,762.86
  6. Step 6: Final answer
    x = 14,956.96

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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.