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Finding the Fourth Proportional to 4,970.49, 7,455.49 and 1,460.35

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Solution

The fourth proportional to 4,970.49, 7,455.49 and 1,460.35 is: 2,190.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,970.49 : 7,455.49 = 1,460.35 : x
  2. Step 2: Convert to fraction form
    4,970.49/7,455.49 = 1,460.35/x
  3. Step 3: Cross multiply
    4,970.49x = 7,455.49 × 1,460.35
  4. Step 4: Simplify right side
    4,970.49x = 10,887,624.82
  5. Step 5: Solve for x
    x = 10,887,624.82/4,970.49
  6. Step 6: Final answer
    x = 2,190.45

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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.