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Finding the Fourth Proportional to 7,065.63, 9,750.20 and 4,082.40

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Solution

The fourth proportional to 7,065.63, 9,750.20 and 4,082.40 is: 5,633.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,065.63 : 9,750.20 = 4,082.40 : x
  2. Step 2: Convert to fraction form
    7,065.63/9,750.20 = 4,082.40/x
  3. Step 3: Cross multiply
    7,065.63x = 9,750.20 × 4,082.40
  4. Step 4: Simplify right side
    7,065.63x = 39,804,196.07
  5. Step 5: Solve for x
    x = 39,804,196.07/7,065.63
  6. Step 6: Final answer
    x = 5,633.50

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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.