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Finding the Fourth Proportional to 14,201.48, 19,598.17 and 7,828.30

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Solution

The fourth proportional to 14,201.48, 19,598.17 and 7,828.30 is: 10,803.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,201.48 : 19,598.17 = 7,828.30 : x
  2. Step 2: Convert to fraction form
    14,201.48/19,598.17 = 7,828.30/x
  3. Step 3: Cross multiply
    14,201.48x = 19,598.17 × 7,828.30
  4. Step 4: Simplify right side
    14,201.48x = 153,420,354.21
  5. Step 5: Solve for x
    x = 153,420,354.21/14,201.48
  6. Step 6: Final answer
    x = 10,803.12

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.