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Finding the Fourth Proportional to 9,788.88, 14,676.04 and 5,892.40

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Solution

The fourth proportional to 9,788.88, 14,676.04 and 5,892.40 is: 8,834.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,788.88 : 14,676.04 = 5,892.40 : x
  2. Step 2: Convert to fraction form
    9,788.88/14,676.04 = 5,892.40/x
  3. Step 3: Cross multiply
    9,788.88x = 14,676.04 × 5,892.40
  4. Step 4: Simplify right side
    9,788.88x = 86,477,098.10
  5. Step 5: Solve for x
    x = 86,477,098.10/9,788.88
  6. Step 6: Final answer
    x = 8,834.22

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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.