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Finding the Fourth Proportional to 9,776.70, 14,669.60 and 5,827.86

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Solution

The fourth proportional to 9,776.70, 14,669.60 and 5,827.86 is: 8,744.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,776.70 : 14,669.60 = 5,827.86 : x
  2. Step 2: Convert to fraction form
    9,776.70/14,669.60 = 5,827.86/x
  3. Step 3: Cross multiply
    9,776.70x = 14,669.60 × 5,827.86
  4. Step 4: Simplify right side
    9,776.70x = 85,492,345.92
  5. Step 5: Solve for x
    x = 85,492,345.92/9,776.70
  6. Step 6: Final answer
    x = 8,744.50

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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.