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Finding the Fourth Proportional to 11,563.50, 15,957.63 and 6,595.50

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Solution

The fourth proportional to 11,563.50, 15,957.63 and 6,595.50 is: 9,101.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,563.50 : 15,957.63 = 6,595.50 : x
  2. Step 2: Convert to fraction form
    11,563.50/15,957.63 = 6,595.50/x
  3. Step 3: Cross multiply
    11,563.50x = 15,957.63 × 6,595.50
  4. Step 4: Simplify right side
    11,563.50x = 105,248,548.67
  5. Step 5: Solve for x
    x = 105,248,548.67/11,563.50
  6. Step 6: Final answer
    x = 9,101.79

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.