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Finding the Fourth Proportional to 6,352.50, 9,528.94 and 1,735.50

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Solution

The fourth proportional to 6,352.50, 9,528.94 and 1,735.50 is: 2,603.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,352.50 : 9,528.94 = 1,735.50 : x
  2. Step 2: Convert to fraction form
    6,352.50/9,528.94 = 1,735.50/x
  3. Step 3: Cross multiply
    6,352.50x = 9,528.94 × 1,735.50
  4. Step 4: Simplify right side
    6,352.50x = 16,537,475.37
  5. Step 5: Solve for x
    x = 16,537,475.37/6,352.50
  6. Step 6: Final answer
    x = 2,603.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.