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Finding the Fourth Proportional to 5,653.74, 7,804.71 and 4,894.50

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Solution

The fourth proportional to 5,653.74, 7,804.71 and 4,894.50 is: 6,756.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,653.74 : 7,804.71 = 4,894.50 : x
  2. Step 2: Convert to fraction form
    5,653.74/7,804.71 = 4,894.50/x
  3. Step 3: Cross multiply
    5,653.74x = 7,804.71 × 4,894.50
  4. Step 4: Simplify right side
    5,653.74x = 38,200,153.10
  5. Step 5: Solve for x
    x = 38,200,153.10/5,653.74
  6. Step 6: Final answer
    x = 6,756.62

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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.