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Finding the Fourth Proportional to 7,578.66, 10,459.08 and 4,594.62

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Solution

The fourth proportional to 7,578.66, 10,459.08 and 4,594.62 is: 6,340.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,578.66 : 10,459.08 = 4,594.62 : x
  2. Step 2: Convert to fraction form
    7,578.66/10,459.08 = 4,594.62/x
  3. Step 3: Cross multiply
    7,578.66x = 10,459.08 × 4,594.62
  4. Step 4: Simplify right side
    7,578.66x = 48,055,512.81
  5. Step 5: Solve for x
    x = 48,055,512.81/7,578.66
  6. Step 6: Final answer
    x = 6,340.90

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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.