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Finding the Fourth Proportional to 11,574.96, 15,970.68 and 6,858.42

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Solution

The fourth proportional to 11,574.96, 15,970.68 and 6,858.42 is: 9,462.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,574.96 : 15,970.68 = 6,858.42 : x
  2. Step 2: Convert to fraction form
    11,574.96/15,970.68 = 6,858.42/x
  3. Step 3: Cross multiply
    11,574.96x = 15,970.68 × 6,858.42
  4. Step 4: Simplify right side
    11,574.96x = 109,533,631.13
  5. Step 5: Solve for x
    x = 109,533,631.13/11,574.96
  6. Step 6: Final answer
    x = 9,462.98

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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.