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Finding the Fourth Proportional to 10,574.08, 14,592 and 6,097.56

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Solution

The fourth proportional to 10,574.08, 14,592 and 6,097.56 is: 8,414.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,574.08 : 14,592 = 6,097.56 : x
  2. Step 2: Convert to fraction form
    10,574.08/14,592 = 6,097.56/x
  3. Step 3: Cross multiply
    10,574.08x = 14,592 × 6,097.56
  4. Step 4: Simplify right side
    10,574.08x = 88,975,595.52
  5. Step 5: Solve for x
    x = 88,975,595.52/10,574.08
  6. Step 6: Final answer
    x = 8,414.50

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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.