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Finding the Fourth Proportional to 7,025.40, 9,696.02 and 4,041.16

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Solution

The fourth proportional to 7,025.40, 9,696.02 and 4,041.16 is: 5,577.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,025.40 : 9,696.02 = 4,041.16 : x
  2. Step 2: Convert to fraction form
    7,025.40/9,696.02 = 4,041.16/x
  3. Step 3: Cross multiply
    7,025.40x = 9,696.02 × 4,041.16
  4. Step 4: Simplify right side
    7,025.40x = 39,183,123.74
  5. Step 5: Solve for x
    x = 39,183,123.74/7,025.40
  6. Step 6: Final answer
    x = 5,577.35

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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.