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Finding the Fourth Proportional to 10,597.81, 15,897.02 and 2,806.63

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Solution

The fourth proportional to 10,597.81, 15,897.02 and 2,806.63 is: 4,210.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,597.81 : 15,897.02 = 2,806.63 : x
  2. Step 2: Convert to fraction form
    10,597.81/15,897.02 = 2,806.63/x
  3. Step 3: Cross multiply
    10,597.81x = 15,897.02 × 2,806.63
  4. Step 4: Simplify right side
    10,597.81x = 44,617,053.24
  5. Step 5: Solve for x
    x = 44,617,053.24/10,597.81
  6. Step 6: Final answer
    x = 4,210.03

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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.