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Finding the Fourth Proportional to 7,126.48, 9,828.14 and 4,605.94

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Solution

The fourth proportional to 7,126.48, 9,828.14 and 4,605.94 is: 6,352.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,126.48 : 9,828.14 = 4,605.94 : x
  2. Step 2: Convert to fraction form
    7,126.48/9,828.14 = 4,605.94/x
  3. Step 3: Cross multiply
    7,126.48x = 9,828.14 × 4,605.94
  4. Step 4: Simplify right side
    7,126.48x = 45,267,812.41
  5. Step 5: Solve for x
    x = 45,267,812.41/7,126.48
  6. Step 6: Final answer
    x = 6,352.06

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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.