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Finding the Fourth Proportional to 7,054.68, 9,735.90 and 4,071.06

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Solution

The fourth proportional to 7,054.68, 9,735.90 and 4,071.06 is: 5,618.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,054.68 : 9,735.90 = 4,071.06 : x
  2. Step 2: Convert to fraction form
    7,054.68/9,735.90 = 4,071.06/x
  3. Step 3: Cross multiply
    7,054.68x = 9,735.90 × 4,071.06
  4. Step 4: Simplify right side
    7,054.68x = 39,635,433.05
  5. Step 5: Solve for x
    x = 39,635,433.05/7,054.68
  6. Step 6: Final answer
    x = 5,618.32

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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.