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Finding the Fourth Proportional to 7,571.12, 10,445.10 and 4,775

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Solution

The fourth proportional to 7,571.12, 10,445.10 and 4,775 is: 6,587.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,571.12 : 10,445.10 = 4,775 : x
  2. Step 2: Convert to fraction form
    7,571.12/10,445.10 = 4,775/x
  3. Step 3: Cross multiply
    7,571.12x = 10,445.10 × 4,775
  4. Step 4: Simplify right side
    7,571.12x = 49,875,352.50
  5. Step 5: Solve for x
    x = 49,875,352.50/7,571.12
  6. Step 6: Final answer
    x = 6,587.58

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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.