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Finding the Fourth Proportional to 7,158.04, 9,876.07 and 4,640.25

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Solution

The fourth proportional to 7,158.04, 9,876.07 and 4,640.25 is: 6,402.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,158.04 : 9,876.07 = 4,640.25 : x
  2. Step 2: Convert to fraction form
    7,158.04/9,876.07 = 4,640.25/x
  3. Step 3: Cross multiply
    7,158.04x = 9,876.07 × 4,640.25
  4. Step 4: Simplify right side
    7,158.04x = 45,827,410.62
  5. Step 5: Solve for x
    x = 45,827,410.62/7,158.04
  6. Step 6: Final answer
    x = 6,402.23

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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.