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Finding the Fourth Proportional to 10,597.84, 15,896.49 and 5,055.10

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Solution

The fourth proportional to 10,597.84, 15,896.49 and 5,055.10 is: 7,582.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,597.84 : 15,896.49 = 5,055.10 : x
  2. Step 2: Convert to fraction form
    10,597.84/15,896.49 = 5,055.10/x
  3. Step 3: Cross multiply
    10,597.84x = 15,896.49 × 5,055.10
  4. Step 4: Simplify right side
    10,597.84x = 80,358,346.60
  5. Step 5: Solve for x
    x = 80,358,346.60/10,597.84
  6. Step 6: Final answer
    x = 7,582.52

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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.