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Finding the Fourth Proportional to 8,436.14, 11,641.89 and 4,710.14

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Solution

The fourth proportional to 8,436.14, 11,641.89 and 4,710.14 is: 6,500.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,436.14 : 11,641.89 = 4,710.14 : x
  2. Step 2: Convert to fraction form
    8,436.14/11,641.89 = 4,710.14/x
  3. Step 3: Cross multiply
    8,436.14x = 11,641.89 × 4,710.14
  4. Step 4: Simplify right side
    8,436.14x = 54,834,931.76
  5. Step 5: Solve for x
    x = 54,834,931.76/8,436.14
  6. Step 6: Final answer
    x = 6,500.00

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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.