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Finding the Fourth Proportional to 7,885.56, 10,884.06 and 4,743.60

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Solution

The fourth proportional to 7,885.56, 10,884.06 and 4,743.60 is: 6,547.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,885.56 : 10,884.06 = 4,743.60 : x
  2. Step 2: Convert to fraction form
    7,885.56/10,884.06 = 4,743.60/x
  3. Step 3: Cross multiply
    7,885.56x = 10,884.06 × 4,743.60
  4. Step 4: Simplify right side
    7,885.56x = 51,629,627.02
  5. Step 5: Solve for x
    x = 51,629,627.02/7,885.56
  6. Step 6: Final answer
    x = 6,547.36

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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.