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Finding the Fourth Proportional to 7,466.08, 10,303.20 and 4,154.08

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Solution

The fourth proportional to 7,466.08, 10,303.20 and 4,154.08 is: 5,732.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,466.08 : 10,303.20 = 4,154.08 : x
  2. Step 2: Convert to fraction form
    7,466.08/10,303.20 = 4,154.08/x
  3. Step 3: Cross multiply
    7,466.08x = 10,303.20 × 4,154.08
  4. Step 4: Simplify right side
    7,466.08x = 42,800,317.06
  5. Step 5: Solve for x
    x = 42,800,317.06/7,466.08
  6. Step 6: Final answer
    x = 5,732.64

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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.