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Finding the Fourth Proportional to 7,104.84, 9,810.84 and 4,456.80

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Solution

The fourth proportional to 7,104.84, 9,810.84 and 4,456.80 is: 6,154.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,104.84 : 9,810.84 = 4,456.80 : x
  2. Step 2: Convert to fraction form
    7,104.84/9,810.84 = 4,456.80/x
  3. Step 3: Cross multiply
    7,104.84x = 9,810.84 × 4,456.80
  4. Step 4: Simplify right side
    7,104.84x = 43,724,951.71
  5. Step 5: Solve for x
    x = 43,724,951.71/7,104.84
  6. Step 6: Final answer
    x = 6,154.25

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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.