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Finding the Fourth Proportional to 7,053.98, 9,730.19 and 4,663.98

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Solution

The fourth proportional to 7,053.98, 9,730.19 and 4,663.98 is: 6,433.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,053.98 : 9,730.19 = 4,663.98 : x
  2. Step 2: Convert to fraction form
    7,053.98/9,730.19 = 4,663.98/x
  3. Step 3: Cross multiply
    7,053.98x = 9,730.19 × 4,663.98
  4. Step 4: Simplify right side
    7,053.98x = 45,381,388.24
  5. Step 5: Solve for x
    x = 45,381,388.24/7,053.98
  6. Step 6: Final answer
    x = 6,433.45

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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.