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Finding the Fourth Proportional to 7,854.59, 10,838.12 and 4,666.70

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Solution

The fourth proportional to 7,854.59, 10,838.12 and 4,666.70 is: 6,439.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,854.59 : 10,838.12 = 4,666.70 : x
  2. Step 2: Convert to fraction form
    7,854.59/10,838.12 = 4,666.70/x
  3. Step 3: Cross multiply
    7,854.59x = 10,838.12 × 4,666.70
  4. Step 4: Simplify right side
    7,854.59x = 50,578,257.07
  5. Step 5: Solve for x
    x = 50,578,257.07/7,854.59
  6. Step 6: Final answer
    x = 6,439.33

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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.