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Finding the Fourth Proportional to 7,009.20, 9,677.88 and 4,916.16

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Solution

The fourth proportional to 7,009.20, 9,677.88 and 4,916.16 is: 6,787.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,009.20 : 9,677.88 = 4,916.16 : x
  2. Step 2: Convert to fraction form
    7,009.20/9,677.88 = 4,916.16/x
  3. Step 3: Cross multiply
    7,009.20x = 9,677.88 × 4,916.16
  4. Step 4: Simplify right side
    7,009.20x = 47,578,006.54
  5. Step 5: Solve for x
    x = 47,578,006.54/7,009.20
  6. Step 6: Final answer
    x = 6,787.94

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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.