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Finding the Fourth Proportional to 7,888.14, 10,885.82 and 4,532.00

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Solution

The fourth proportional to 7,888.14, 10,885.82 and 4,532.00 is: 6,254.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,888.14 : 10,885.82 = 4,532.00 : x
  2. Step 2: Convert to fraction form
    7,888.14/10,885.82 = 4,532.00/x
  3. Step 3: Cross multiply
    7,888.14x = 10,885.82 × 4,532.00
  4. Step 4: Simplify right side
    7,888.14x = 49,334,459.15
  5. Step 5: Solve for x
    x = 49,334,459.15/7,888.14
  6. Step 6: Final answer
    x = 6,254.26

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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.