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Finding the Fourth Proportional to 9,800.70, 14,703.48 and 2,875.20

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Solution

The fourth proportional to 9,800.70, 14,703.48 and 2,875.20 is: 4,313.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,800.70 : 14,703.48 = 2,875.20 : x
  2. Step 2: Convert to fraction form
    9,800.70/14,703.48 = 2,875.20/x
  3. Step 3: Cross multiply
    9,800.70x = 14,703.48 × 2,875.20
  4. Step 4: Simplify right side
    9,800.70x = 42,275,445.70
  5. Step 5: Solve for x
    x = 42,275,445.70/9,800.70
  6. Step 6: Final answer
    x = 4,313.51

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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.