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Finding the Fourth Proportional to 5,407.50, 8,111.25 and 1,303.50

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Solution

The fourth proportional to 5,407.50, 8,111.25 and 1,303.50 is: 1,955.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,407.50 : 8,111.25 = 1,303.50 : x
  2. Step 2: Convert to fraction form
    5,407.50/8,111.25 = 1,303.50/x
  3. Step 3: Cross multiply
    5,407.50x = 8,111.25 × 1,303.50
  4. Step 4: Simplify right side
    5,407.50x = 10,573,014.38
  5. Step 5: Solve for x
    x = 10,573,014.38/5,407.50
  6. Step 6: Final answer
    x = 1,955.25

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Double scale
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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.