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Finding the Fourth Proportional to 8,152.81, 11,256.47 and 5,503.93

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Solution

The fourth proportional to 8,152.81, 11,256.47 and 5,503.93 is: 7,599.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,152.81 : 11,256.47 = 5,503.93 : x
  2. Step 2: Convert to fraction form
    8,152.81/11,256.47 = 5,503.93/x
  3. Step 3: Cross multiply
    8,152.81x = 11,256.47 × 5,503.93
  4. Step 4: Simplify right side
    8,152.81x = 61,954,822.93
  5. Step 5: Solve for x
    x = 61,954,822.93/8,152.81
  6. Step 6: Final answer
    x = 7,599.20

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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.