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Finding the Fourth Proportional to 4,953.40, 7,430.10 and 1,490.20

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Solution

The fourth proportional to 4,953.40, 7,430.10 and 1,490.20 is: 2,235.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,953.40 : 7,430.10 = 1,490.20 : x
  2. Step 2: Convert to fraction form
    4,953.40/7,430.10 = 1,490.20/x
  3. Step 3: Cross multiply
    4,953.40x = 7,430.10 × 1,490.20
  4. Step 4: Simplify right side
    4,953.40x = 11,072,335.02
  5. Step 5: Solve for x
    x = 11,072,335.02/4,953.40
  6. Step 6: Final answer
    x = 2,235.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.