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Finding the Fourth Proportional to 8,407.72, 11,602.48 and 5,265.64

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Solution

The fourth proportional to 8,407.72, 11,602.48 and 5,265.64 is: 7,266.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,407.72 : 11,602.48 = 5,265.64 : x
  2. Step 2: Convert to fraction form
    8,407.72/11,602.48 = 5,265.64/x
  3. Step 3: Cross multiply
    8,407.72x = 11,602.48 × 5,265.64
  4. Step 4: Simplify right side
    8,407.72x = 61,094,411.61
  5. Step 5: Solve for x
    x = 61,094,411.61/8,407.72
  6. Step 6: Final answer
    x = 7,266.47

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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.