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Finding the Fourth Proportional to 9,852.50, 14,783.07 and 5,748.50

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Solution

The fourth proportional to 9,852.50, 14,783.07 and 5,748.50 is: 8,625.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,852.50 : 14,783.07 = 5,748.50 : x
  2. Step 2: Convert to fraction form
    9,852.50/14,783.07 = 5,748.50/x
  3. Step 3: Cross multiply
    9,852.50x = 14,783.07 × 5,748.50
  4. Step 4: Simplify right side
    9,852.50x = 84,980,477.90
  5. Step 5: Solve for x
    x = 84,980,477.90/9,852.50
  6. Step 6: Final answer
    x = 8,625.27

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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.