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Finding the Fourth Proportional to 9,842.12, 14,763.36 and 2,916.64

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Solution

The fourth proportional to 9,842.12, 14,763.36 and 2,916.64 is: 4,375.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,842.12 : 14,763.36 = 2,916.64 : x
  2. Step 2: Convert to fraction form
    9,842.12/14,763.36 = 2,916.64/x
  3. Step 3: Cross multiply
    9,842.12x = 14,763.36 × 2,916.64
  4. Step 4: Simplify right side
    9,842.12x = 43,059,406.31
  5. Step 5: Solve for x
    x = 43,059,406.31/9,842.12
  6. Step 6: Final answer
    x = 4,375.01

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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.