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Finding the Fourth Proportional to 7,312.70, 10,969.05 and 2,047.70

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Solution

The fourth proportional to 7,312.70, 10,969.05 and 2,047.70 is: 3,071.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,312.70 : 10,969.05 = 2,047.70 : x
  2. Step 2: Convert to fraction form
    7,312.70/10,969.05 = 2,047.70/x
  3. Step 3: Cross multiply
    7,312.70x = 10,969.05 × 2,047.70
  4. Step 4: Simplify right side
    7,312.70x = 22,461,323.69
  5. Step 5: Solve for x
    x = 22,461,323.69/7,312.70
  6. Step 6: Final answer
    x = 3,071.55

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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.