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Finding the Fourth Proportional to 9,828.74, 14,731.50 and 9,719.12

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Solution

The fourth proportional to 9,828.74, 14,731.50 and 9,719.12 is: 14,567.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,828.74 : 14,731.50 = 9,719.12 : x
  2. Step 2: Convert to fraction form
    9,828.74/14,731.50 = 9,719.12/x
  3. Step 3: Cross multiply
    9,828.74x = 14,731.50 × 9,719.12
  4. Step 4: Simplify right side
    9,828.74x = 143,177,216.28
  5. Step 5: Solve for x
    x = 143,177,216.28/9,828.74
  6. Step 6: Final answer
    x = 14,567.20

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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.