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Finding the Fourth Proportional to 7,033.58, 9,702.10 and 4,643.56

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Solution

The fourth proportional to 7,033.58, 9,702.10 and 4,643.56 is: 6,405.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,033.58 : 9,702.10 = 4,643.56 : x
  2. Step 2: Convert to fraction form
    7,033.58/9,702.10 = 4,643.56/x
  3. Step 3: Cross multiply
    7,033.58x = 9,702.10 × 4,643.56
  4. Step 4: Simplify right side
    7,033.58x = 45,052,283.48
  5. Step 5: Solve for x
    x = 45,052,283.48/7,033.58
  6. Step 6: Final answer
    x = 6,405.31

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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.