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Finding the Fourth Proportional to 10,957.68, 16,419.24 and 6,569.64

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Solution

The fourth proportional to 10,957.68, 16,419.24 and 6,569.64 is: 9,844.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,957.68 : 16,419.24 = 6,569.64 : x
  2. Step 2: Convert to fraction form
    10,957.68/16,419.24 = 6,569.64/x
  3. Step 3: Cross multiply
    10,957.68x = 16,419.24 × 6,569.64
  4. Step 4: Simplify right side
    10,957.68x = 107,868,495.87
  5. Step 5: Solve for x
    x = 107,868,495.87/10,957.68
  6. Step 6: Final answer
    x = 9,844.10

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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.