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Finding the Fourth Proportional to 15,774.47, 23,658.35 and 5,914.47

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Solution

The fourth proportional to 15,774.47, 23,658.35 and 5,914.47 is: 8,870.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,774.47 : 23,658.35 = 5,914.47 : x
  2. Step 2: Convert to fraction form
    15,774.47/23,658.35 = 5,914.47/x
  3. Step 3: Cross multiply
    15,774.47x = 23,658.35 × 5,914.47
  4. Step 4: Simplify right side
    15,774.47x = 139,926,601.32
  5. Step 5: Solve for x
    x = 139,926,601.32/15,774.47
  6. Step 6: Final answer
    x = 8,870.45

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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.