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Finding the Fourth Proportional to 5,055.84, 6,974.64 and 4,356

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Solution

The fourth proportional to 5,055.84, 6,974.64 and 4,356 is: 6,009.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,055.84 : 6,974.64 = 4,356 : x
  2. Step 2: Convert to fraction form
    5,055.84/6,974.64 = 4,356/x
  3. Step 3: Cross multiply
    5,055.84x = 6,974.64 × 4,356
  4. Step 4: Simplify right side
    5,055.84x = 30,381,531.84
  5. Step 5: Solve for x
    x = 30,381,531.84/5,055.84
  6. Step 6: Final answer
    x = 6,009.20

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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.