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Finding the Fourth Proportional to 10,397.40, 14,575.80 and 10,397.40

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Solution

The fourth proportional to 10,397.40, 14,575.80 and 10,397.40 is: 14,575.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,397.40 : 14,575.80 = 10,397.40 : x
  2. Step 2: Convert to fraction form
    10,397.40/14,575.80 = 10,397.40/x
  3. Step 3: Cross multiply
    10,397.40x = 14,575.80 × 10,397.40
  4. Step 4: Simplify right side
    10,397.40x = 151,550,422.92
  5. Step 5: Solve for x
    x = 151,550,422.92/10,397.40
  6. Step 6: Final answer
    x = 14,575.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.