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Finding the Fourth Proportional to 7,854.45, 10,838.25 and 4,317.45

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Solution

The fourth proportional to 7,854.45, 10,838.25 and 4,317.45 is: 5,957.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,854.45 : 10,838.25 = 4,317.45 : x
  2. Step 2: Convert to fraction form
    7,854.45/10,838.25 = 4,317.45/x
  3. Step 3: Cross multiply
    7,854.45x = 10,838.25 × 4,317.45
  4. Step 4: Simplify right side
    7,854.45x = 46,793,602.46
  5. Step 5: Solve for x
    x = 46,793,602.46/7,854.45
  6. Step 6: Final answer
    x = 5,957.59

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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.