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Finding the Fourth Proportional to 7,221.84, 9,959.90 and 4,703

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Solution

The fourth proportional to 7,221.84, 9,959.90 and 4,703 is: 6,486.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,221.84 : 9,959.90 = 4,703 : x
  2. Step 2: Convert to fraction form
    7,221.84/9,959.90 = 4,703/x
  3. Step 3: Cross multiply
    7,221.84x = 9,959.90 × 4,703
  4. Step 4: Simplify right side
    7,221.84x = 46,841,409.70
  5. Step 5: Solve for x
    x = 46,841,409.70/7,221.84
  6. Step 6: Final answer
    x = 6,486.08

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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.