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Finding the Fourth Proportional to 14,307, 21,435.48 and 9,927.24

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Solution

The fourth proportional to 14,307, 21,435.48 and 9,927.24 is: 14,873.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,307 : 21,435.48 = 9,927.24 : x
  2. Step 2: Convert to fraction form
    14,307/21,435.48 = 9,927.24/x
  3. Step 3: Cross multiply
    14,307x = 21,435.48 × 9,927.24
  4. Step 4: Simplify right side
    14,307x = 212,795,154.48
  5. Step 5: Solve for x
    x = 212,795,154.48/14,307
  6. Step 6: Final answer
    x = 14,873.50

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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.