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Finding the Fourth Proportional to 7,160.77, 9,878.25 and 4,503.16

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Solution

The fourth proportional to 7,160.77, 9,878.25 and 4,503.16 is: 6,212.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,160.77 : 9,878.25 = 4,503.16 : x
  2. Step 2: Convert to fraction form
    7,160.77/9,878.25 = 4,503.16/x
  3. Step 3: Cross multiply
    7,160.77x = 9,878.25 × 4,503.16
  4. Step 4: Simplify right side
    7,160.77x = 44,483,340.27
  5. Step 5: Solve for x
    x = 44,483,340.27/7,160.77
  6. Step 6: Final answer
    x = 6,212.09

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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.