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Finding the Fourth Proportional to 15,783.60, 23,675.40 and 8,007.60

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Solution

The fourth proportional to 15,783.60, 23,675.40 and 8,007.60 is: 12,011.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,783.60 : 23,675.40 = 8,007.60 : x
  2. Step 2: Convert to fraction form
    15,783.60/23,675.40 = 8,007.60/x
  3. Step 3: Cross multiply
    15,783.60x = 23,675.40 × 8,007.60
  4. Step 4: Simplify right side
    15,783.60x = 189,583,133.04
  5. Step 5: Solve for x
    x = 189,583,133.04/15,783.60
  6. Step 6: Final answer
    x = 12,011.40

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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.