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Finding the Fourth Proportional to 7,211.90, 9,953.03 and 5,298.45

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Solution

The fourth proportional to 7,211.90, 9,953.03 and 5,298.45 is: 7,312.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,211.90 : 9,953.03 = 5,298.45 : x
  2. Step 2: Convert to fraction form
    7,211.90/9,953.03 = 5,298.45/x
  3. Step 3: Cross multiply
    7,211.90x = 9,953.03 × 5,298.45
  4. Step 4: Simplify right side
    7,211.90x = 52,735,605.31
  5. Step 5: Solve for x
    x = 52,735,605.31/7,211.90
  6. Step 6: Final answer
    x = 7,312.31

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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.