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Finding the Fourth Proportional to 7,412.95, 10,232.47 and 4,582.49

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Solution

The fourth proportional to 7,412.95, 10,232.47 and 4,582.49 is: 6,325.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,412.95 : 10,232.47 = 4,582.49 : x
  2. Step 2: Convert to fraction form
    7,412.95/10,232.47 = 4,582.49/x
  3. Step 3: Cross multiply
    7,412.95x = 10,232.47 × 4,582.49
  4. Step 4: Simplify right side
    7,412.95x = 46,890,191.45
  5. Step 5: Solve for x
    x = 46,890,191.45/7,412.95
  6. Step 6: Final answer
    x = 6,325.44

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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.