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Finding the Fourth Proportional to 7,957.62, 11,878.08 and 7,023.57

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Solution

The fourth proportional to 7,957.62, 11,878.08 and 7,023.57 is: 10,483.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,957.62 : 11,878.08 = 7,023.57 : x
  2. Step 2: Convert to fraction form
    7,957.62/11,878.08 = 7,023.57/x
  3. Step 3: Cross multiply
    7,957.62x = 11,878.08 × 7,023.57
  4. Step 4: Simplify right side
    7,957.62x = 83,426,526.35
  5. Step 5: Solve for x
    x = 83,426,526.35/7,957.62
  6. Step 6: Final answer
    x = 10,483.85

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.