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Finding the Fourth Proportional to 10,897.43, 15,026.07 and 9,834.86

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Solution

The fourth proportional to 10,897.43, 15,026.07 and 9,834.86 is: 13,560.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,897.43 : 15,026.07 = 9,834.86 : x
  2. Step 2: Convert to fraction form
    10,897.43/15,026.07 = 9,834.86/x
  3. Step 3: Cross multiply
    10,897.43x = 15,026.07 × 9,834.86
  4. Step 4: Simplify right side
    10,897.43x = 147,779,247.84
  5. Step 5: Solve for x
    x = 147,779,247.84/10,897.43
  6. Step 6: Final answer
    x = 13,560.92

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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.