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Finding the Fourth Proportional to 8,972.86, 12,369.71 and 6,312.01

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Solution

The fourth proportional to 8,972.86, 12,369.71 and 6,312.01 is: 8,701.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,972.86 : 12,369.71 = 6,312.01 : x
  2. Step 2: Convert to fraction form
    8,972.86/12,369.71 = 6,312.01/x
  3. Step 3: Cross multiply
    8,972.86x = 12,369.71 × 6,312.01
  4. Step 4: Simplify right side
    8,972.86x = 78,077,639.81
  5. Step 5: Solve for x
    x = 78,077,639.81/8,972.86
  6. Step 6: Final answer
    x = 8,701.54

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.