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Finding the Fourth Proportional to 4,689.48, 6,463.48 and 4,292.23

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Solution

The fourth proportional to 4,689.48, 6,463.48 and 4,292.23 is: 5,915.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,689.48 : 6,463.48 = 4,292.23 : x
  2. Step 2: Convert to fraction form
    4,689.48/6,463.48 = 4,292.23/x
  3. Step 3: Cross multiply
    4,689.48x = 6,463.48 × 4,292.23
  4. Step 4: Simplify right side
    4,689.48x = 27,742,742.76
  5. Step 5: Solve for x
    x = 27,742,742.76/4,689.48
  6. Step 6: Final answer
    x = 5,915.95

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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.