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Finding the Fourth Proportional to 7,802.40, 11,708.23 and 2,875.50

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Solution

The fourth proportional to 7,802.40, 11,708.23 and 2,875.50 is: 4,314.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,802.40 : 11,708.23 = 2,875.50 : x
  2. Step 2: Convert to fraction form
    7,802.40/11,708.23 = 2,875.50/x
  3. Step 3: Cross multiply
    7,802.40x = 11,708.23 × 2,875.50
  4. Step 4: Simplify right side
    7,802.40x = 33,667,015.37
  5. Step 5: Solve for x
    x = 33,667,015.37/7,802.40
  6. Step 6: Final answer
    x = 4,314.96

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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.