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Finding the Fourth Proportional to 6,197.40, 9,329.94 and 5,653.08

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Solution

The fourth proportional to 6,197.40, 9,329.94 and 5,653.08 is: 8,510.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,197.40 : 9,329.94 = 5,653.08 : x
  2. Step 2: Convert to fraction form
    6,197.40/9,329.94 = 5,653.08/x
  3. Step 3: Cross multiply
    6,197.40x = 9,329.94 × 5,653.08
  4. Step 4: Simplify right side
    6,197.40x = 52,742,897.22
  5. Step 5: Solve for x
    x = 52,742,897.22/6,197.40
  6. Step 6: Final answer
    x = 8,510.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.