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Finding the Fourth Proportional to 7,052.19, 9,734.22 and 4,364.34

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Solution

The fourth proportional to 7,052.19, 9,734.22 and 4,364.34 is: 6,024.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,052.19 : 9,734.22 = 4,364.34 : x
  2. Step 2: Convert to fraction form
    7,052.19/9,734.22 = 4,364.34/x
  3. Step 3: Cross multiply
    7,052.19x = 9,734.22 × 4,364.34
  4. Step 4: Simplify right side
    7,052.19x = 42,483,445.71
  5. Step 5: Solve for x
    x = 42,483,445.71/7,052.19
  6. Step 6: Final answer
    x = 6,024.15

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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.