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Finding the Fourth Proportional to 15,914.50, 23,871.75 and 4,970.50

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Solution

The fourth proportional to 15,914.50, 23,871.75 and 4,970.50 is: 7,455.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,914.50 : 23,871.75 = 4,970.50 : x
  2. Step 2: Convert to fraction form
    15,914.50/23,871.75 = 4,970.50/x
  3. Step 3: Cross multiply
    15,914.50x = 23,871.75 × 4,970.50
  4. Step 4: Simplify right side
    15,914.50x = 118,654,533.38
  5. Step 5: Solve for x
    x = 118,654,533.38/15,914.50
  6. Step 6: Final answer
    x = 7,455.75

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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.