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Finding the Fourth Proportional to 7,700.90, 10,627.25 and 4,164.10

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Solution

The fourth proportional to 7,700.90, 10,627.25 and 4,164.10 is: 5,746.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,700.90 : 10,627.25 = 4,164.10 : x
  2. Step 2: Convert to fraction form
    7,700.90/10,627.25 = 4,164.10/x
  3. Step 3: Cross multiply
    7,700.90x = 10,627.25 × 4,164.10
  4. Step 4: Simplify right side
    7,700.90x = 44,252,884.34
  5. Step 5: Solve for x
    x = 44,252,884.34/7,700.90
  6. Step 6: Final answer
    x = 5,746.46

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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.