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Finding the Fourth Proportional to 14,842.76, 22,264.14 and 6,629

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Solution

The fourth proportional to 14,842.76, 22,264.14 and 6,629 is: 9,943.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,842.76 : 22,264.14 = 6,629 : x
  2. Step 2: Convert to fraction form
    14,842.76/22,264.14 = 6,629/x
  3. Step 3: Cross multiply
    14,842.76x = 22,264.14 × 6,629
  4. Step 4: Simplify right side
    14,842.76x = 147,588,984.06
  5. Step 5: Solve for x
    x = 147,588,984.06/14,842.76
  6. Step 6: Final answer
    x = 9,943.50

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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.