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Finding the Fourth Proportional to 7,283.80, 10,928.46 and 4,364.20

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Solution

The fourth proportional to 7,283.80, 10,928.46 and 4,364.20 is: 6,547.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,283.80 : 10,928.46 = 4,364.20 : x
  2. Step 2: Convert to fraction form
    7,283.80/10,928.46 = 4,364.20/x
  3. Step 3: Cross multiply
    7,283.80x = 10,928.46 × 4,364.20
  4. Step 4: Simplify right side
    7,283.80x = 47,693,985.13
  5. Step 5: Solve for x
    x = 47,693,985.13/7,283.80
  6. Step 6: Final answer
    x = 6,547.95

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.