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Finding the Fourth Proportional to 7,460.50, 10,295.49 and 4,148.50

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Solution

The fourth proportional to 7,460.50, 10,295.49 and 4,148.50 is: 5,724.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,460.50 : 10,295.49 = 4,148.50 : x
  2. Step 2: Convert to fraction form
    7,460.50/10,295.49 = 4,148.50/x
  3. Step 3: Cross multiply
    7,460.50x = 10,295.49 × 4,148.50
  4. Step 4: Simplify right side
    7,460.50x = 42,710,840.27
  5. Step 5: Solve for x
    x = 42,710,840.27/7,460.50
  6. Step 6: Final answer
    x = 5,724.93

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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.