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Finding the Fourth Proportional to 9,784.94, 14,677.47 and 6,876.23

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Solution

The fourth proportional to 9,784.94, 14,677.47 and 6,876.23 is: 10,314.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,784.94 : 14,677.47 = 6,876.23 : x
  2. Step 2: Convert to fraction form
    9,784.94/14,677.47 = 6,876.23/x
  3. Step 3: Cross multiply
    9,784.94x = 14,677.47 × 6,876.23
  4. Step 4: Simplify right side
    9,784.94x = 100,925,586.15
  5. Step 5: Solve for x
    x = 100,925,586.15/9,784.94
  6. Step 6: Final answer
    x = 10,314.38

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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.