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Finding the Fourth Proportional to 9,854.59, 14,677.34 and 9,806.89

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Solution

The fourth proportional to 9,854.59, 14,677.34 and 9,806.89 is: 14,606.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,854.59 : 14,677.34 = 9,806.89 : x
  2. Step 2: Convert to fraction form
    9,854.59/14,677.34 = 9,806.89/x
  3. Step 3: Cross multiply
    9,854.59x = 14,677.34 × 9,806.89
  4. Step 4: Simplify right side
    9,854.59x = 143,939,058.87
  5. Step 5: Solve for x
    x = 143,939,058.87/9,854.59
  6. Step 6: Final answer
    x = 14,606.30

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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.