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Finding the Fourth Proportional to 7,264.51, 9,955.20 and 6,564.67

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Solution

The fourth proportional to 7,264.51, 9,955.20 and 6,564.67 is: 8,996.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,264.51 : 9,955.20 = 6,564.67 : x
  2. Step 2: Convert to fraction form
    7,264.51/9,955.20 = 6,564.67/x
  3. Step 3: Cross multiply
    7,264.51x = 9,955.20 × 6,564.67
  4. Step 4: Simplify right side
    7,264.51x = 65,352,602.78
  5. Step 5: Solve for x
    x = 65,352,602.78/7,264.51
  6. Step 6: Final answer
    x = 8,996.15

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.