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Finding the Fourth Proportional to 10,518.88, 15,783 and 5,587.32

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Solution

The fourth proportional to 10,518.88, 15,783 and 5,587.32 is: 8,383.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,518.88 : 15,783 = 5,587.32 : x
  2. Step 2: Convert to fraction form
    10,518.88/15,783 = 5,587.32/x
  3. Step 3: Cross multiply
    10,518.88x = 15,783 × 5,587.32
  4. Step 4: Simplify right side
    10,518.88x = 88,184,671.56
  5. Step 5: Solve for x
    x = 88,184,671.56/10,518.88
  6. Step 6: Final answer
    x = 8,383.47

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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.