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Finding the Fourth Proportional to 7,884, 10,880.06 and 5,094.36

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Solution

The fourth proportional to 7,884, 10,880.06 and 5,094.36 is: 7,030.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,884 : 10,880.06 = 5,094.36 : x
  2. Step 2: Convert to fraction form
    7,884/10,880.06 = 5,094.36/x
  3. Step 3: Cross multiply
    7,884x = 10,880.06 × 5,094.36
  4. Step 4: Simplify right side
    7,884x = 55,426,916.99
  5. Step 5: Solve for x
    x = 55,426,916.99/7,884
  6. Step 6: Final answer
    x = 7,030.30

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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.