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Finding the Fourth Proportional to 9,813.75, 14,658.06 and 8,501.55

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Solution

The fourth proportional to 9,813.75, 14,658.06 and 8,501.55 is: 12,698.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,813.75 : 14,658.06 = 8,501.55 : x
  2. Step 2: Convert to fraction form
    9,813.75/14,658.06 = 8,501.55/x
  3. Step 3: Cross multiply
    9,813.75x = 14,658.06 × 8,501.55
  4. Step 4: Simplify right side
    9,813.75x = 124,616,229.99
  5. Step 5: Solve for x
    x = 124,616,229.99/9,813.75
  6. Step 6: Final answer
    x = 12,698.13

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.