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Finding the Fourth Proportional to 6,465.12, 8,916.24 and 4,969.44

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Solution

The fourth proportional to 6,465.12, 8,916.24 and 4,969.44 is: 6,853.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,465.12 : 8,916.24 = 4,969.44 : x
  2. Step 2: Convert to fraction form
    6,465.12/8,916.24 = 4,969.44/x
  3. Step 3: Cross multiply
    6,465.12x = 8,916.24 × 4,969.44
  4. Step 4: Simplify right side
    6,465.12x = 44,308,719.71
  5. Step 5: Solve for x
    x = 44,308,719.71/6,465.12
  6. Step 6: Final answer
    x = 6,853.50

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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.