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Finding the Fourth Proportional to 10,478.40, 15,701.76 and 7,009.44

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Solution

The fourth proportional to 10,478.40, 15,701.76 and 7,009.44 is: 10,503.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,478.40 : 15,701.76 = 7,009.44 : x
  2. Step 2: Convert to fraction form
    10,478.40/15,701.76 = 7,009.44/x
  3. Step 3: Cross multiply
    10,478.40x = 15,701.76 × 7,009.44
  4. Step 4: Simplify right side
    10,478.40x = 110,060,544.61
  5. Step 5: Solve for x
    x = 110,060,544.61/10,478.40
  6. Step 6: Final answer
    x = 10,503.56

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.