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Finding the Fourth Proportional to 7,581, 10,461.81 and 4,437.24

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Solution

The fourth proportional to 7,581, 10,461.81 and 4,437.24 is: 6,123.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,581 : 10,461.81 = 4,437.24 : x
  2. Step 2: Convert to fraction form
    7,581/10,461.81 = 4,437.24/x
  3. Step 3: Cross multiply
    7,581x = 10,461.81 × 4,437.24
  4. Step 4: Simplify right side
    7,581x = 46,421,561.80
  5. Step 5: Solve for x
    x = 46,421,561.80/7,581
  6. Step 6: Final answer
    x = 6,123.41

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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.