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Finding the Fourth Proportional to 7,898.34, 10,900.17 and 4,710.80

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Solution

The fourth proportional to 7,898.34, 10,900.17 and 4,710.80 is: 6,501.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,898.34 : 10,900.17 = 4,710.80 : x
  2. Step 2: Convert to fraction form
    7,898.34/10,900.17 = 4,710.80/x
  3. Step 3: Cross multiply
    7,898.34x = 10,900.17 × 4,710.80
  4. Step 4: Simplify right side
    7,898.34x = 51,348,466.34
  5. Step 5: Solve for x
    x = 51,348,466.34/7,898.34
  6. Step 6: Final answer
    x = 6,501.17

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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.