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Finding the Fourth Proportional to 7,458.95, 10,292.05 and 4,627.01

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Solution

The fourth proportional to 7,458.95, 10,292.05 and 4,627.01 is: 6,384.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,458.95 : 10,292.05 = 4,627.01 : x
  2. Step 2: Convert to fraction form
    7,458.95/10,292.05 = 4,627.01/x
  3. Step 3: Cross multiply
    7,458.95x = 10,292.05 × 4,627.01
  4. Step 4: Simplify right side
    7,458.95x = 47,621,418.27
  5. Step 5: Solve for x
    x = 47,621,418.27/7,458.95
  6. Step 6: Final answer
    x = 6,384.47

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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.