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Finding the Fourth Proportional to 8,557.13, 11,802.34 and 7,364.10

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Solution

The fourth proportional to 8,557.13, 11,802.34 and 7,364.10 is: 10,156.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,557.13 : 11,802.34 = 7,364.10 : x
  2. Step 2: Convert to fraction form
    8,557.13/11,802.34 = 7,364.10/x
  3. Step 3: Cross multiply
    8,557.13x = 11,802.34 × 7,364.10
  4. Step 4: Simplify right side
    8,557.13x = 86,913,665.46
  5. Step 5: Solve for x
    x = 86,913,665.46/8,557.13
  6. Step 6: Final answer
    x = 10,156.87

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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.