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Finding the Fourth Proportional to 19,775.71, 29,663.87 and 7,298.67

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Solution

The fourth proportional to 19,775.71, 29,663.87 and 7,298.67 is: 10,948.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,775.71 : 29,663.87 = 7,298.67 : x
  2. Step 2: Convert to fraction form
    19,775.71/29,663.87 = 7,298.67/x
  3. Step 3: Cross multiply
    19,775.71x = 29,663.87 × 7,298.67
  4. Step 4: Simplify right side
    19,775.71x = 216,506,761.56
  5. Step 5: Solve for x
    x = 216,506,761.56/19,775.71
  6. Step 6: Final answer
    x = 10,948.12

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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.