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Finding the Fourth Proportional to 7,602.48, 10,482.75 and 6,182.28

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Solution

The fourth proportional to 7,602.48, 10,482.75 and 6,182.28 is: 8,524.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,602.48 : 10,482.75 = 6,182.28 : x
  2. Step 2: Convert to fraction form
    7,602.48/10,482.75 = 6,182.28/x
  3. Step 3: Cross multiply
    7,602.48x = 10,482.75 × 6,182.28
  4. Step 4: Simplify right side
    7,602.48x = 64,807,295.67
  5. Step 5: Solve for x
    x = 64,807,295.67/7,602.48
  6. Step 6: Final answer
    x = 8,524.49

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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.