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Finding the Fourth Proportional to 10,588.06, 15,865.02 and 6,209.20

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Solution

The fourth proportional to 10,588.06, 15,865.02 and 6,209.20 is: 9,303.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,588.06 : 15,865.02 = 6,209.20 : x
  2. Step 2: Convert to fraction form
    10,588.06/15,865.02 = 6,209.20/x
  3. Step 3: Cross multiply
    10,588.06x = 15,865.02 × 6,209.20
  4. Step 4: Simplify right side
    10,588.06x = 98,509,082.18
  5. Step 5: Solve for x
    x = 98,509,082.18/10,588.06
  6. Step 6: Final answer
    x = 9,303.79

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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.