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Finding the Fourth Proportional to 7,148.76, 9,856.71 and 6,152.33

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Solution

The fourth proportional to 7,148.76, 9,856.71 and 6,152.33 is: 8,482.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,148.76 : 9,856.71 = 6,152.33 : x
  2. Step 2: Convert to fraction form
    7,148.76/9,856.71 = 6,152.33/x
  3. Step 3: Cross multiply
    7,148.76x = 9,856.71 × 6,152.33
  4. Step 4: Simplify right side
    7,148.76x = 60,641,683.35
  5. Step 5: Solve for x
    x = 60,641,683.35/7,148.76
  6. Step 6: Final answer
    x = 8,482.83

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Half scale
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Double scale
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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.