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Finding the Fourth Proportional to 7,746.84, 10,689.84 and 4,602.42

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Solution

The fourth proportional to 7,746.84, 10,689.84 and 4,602.42 is: 6,350.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,746.84 : 10,689.84 = 4,602.42 : x
  2. Step 2: Convert to fraction form
    7,746.84/10,689.84 = 4,602.42/x
  3. Step 3: Cross multiply
    7,746.84x = 10,689.84 × 4,602.42
  4. Step 4: Simplify right side
    7,746.84x = 49,199,133.41
  5. Step 5: Solve for x
    x = 49,199,133.41/7,746.84
  6. Step 6: Final answer
    x = 6,350.86

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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.