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Finding the Fourth Proportional to 7,897.67, 10,898.78 and 4,541.14

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Solution

The fourth proportional to 7,897.67, 10,898.78 and 4,541.14 is: 6,266.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,897.67 : 10,898.78 = 4,541.14 : x
  2. Step 2: Convert to fraction form
    7,897.67/10,898.78 = 4,541.14/x
  3. Step 3: Cross multiply
    7,897.67x = 10,898.78 × 4,541.14
  4. Step 4: Simplify right side
    7,897.67x = 49,492,835.86
  5. Step 5: Solve for x
    x = 49,492,835.86/7,897.67
  6. Step 6: Final answer
    x = 6,266.77

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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.