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Finding the Fourth Proportional to 7,880.52, 10,804.66 and 7,740.12

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Solution

The fourth proportional to 7,880.52, 10,804.66 and 7,740.12 is: 10,612.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,880.52 : 10,804.66 = 7,740.12 : x
  2. Step 2: Convert to fraction form
    7,880.52/10,804.66 = 7,740.12/x
  3. Step 3: Cross multiply
    7,880.52x = 10,804.66 × 7,740.12
  4. Step 4: Simplify right side
    7,880.52x = 83,629,364.96
  5. Step 5: Solve for x
    x = 83,629,364.96/7,880.52
  6. Step 6: Final answer
    x = 10,612.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.