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Finding the Fourth Proportional to 7,445, 10,274.10 and 4,133

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Solution

The fourth proportional to 7,445, 10,274.10 and 4,133 is: 5,703.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,445 : 10,274.10 = 4,133 : x
  2. Step 2: Convert to fraction form
    7,445/10,274.10 = 4,133/x
  3. Step 3: Cross multiply
    7,445x = 10,274.10 × 4,133
  4. Step 4: Simplify right side
    7,445x = 42,462,855.30
  5. Step 5: Solve for x
    x = 42,462,855.30/7,445
  6. Step 6: Final answer
    x = 5,703.54

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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.