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Finding the Fourth Proportional to 9,875.50, 13,628.20 and 5,459.50

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Solution

The fourth proportional to 9,875.50, 13,628.20 and 5,459.50 is: 7,534.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,875.50 : 13,628.20 = 5,459.50 : x
  2. Step 2: Convert to fraction form
    9,875.50/13,628.20 = 5,459.50/x
  3. Step 3: Cross multiply
    9,875.50x = 13,628.20 × 5,459.50
  4. Step 4: Simplify right side
    9,875.50x = 74,403,157.90
  5. Step 5: Solve for x
    x = 74,403,157.90/9,875.50
  6. Step 6: Final answer
    x = 7,534.12

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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.