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Finding the Fourth Proportional to 7,062.04, 9,746.50 and 4,229.40

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Solution

The fourth proportional to 7,062.04, 9,746.50 and 4,229.40 is: 5,837.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,062.04 : 9,746.50 = 4,229.40 : x
  2. Step 2: Convert to fraction form
    7,062.04/9,746.50 = 4,229.40/x
  3. Step 3: Cross multiply
    7,062.04x = 9,746.50 × 4,229.40
  4. Step 4: Simplify right side
    7,062.04x = 41,221,847.10
  5. Step 5: Solve for x
    x = 41,221,847.10/7,062.04
  6. Step 6: Final answer
    x = 5,837.10

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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.