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Finding the Fourth Proportional to 7,031.72, 9,703.72 and 4,048.14

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Solution

The fourth proportional to 7,031.72, 9,703.72 and 4,048.14 is: 5,586.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,031.72 : 9,703.72 = 4,048.14 : x
  2. Step 2: Convert to fraction form
    7,031.72/9,703.72 = 4,048.14/x
  3. Step 3: Cross multiply
    7,031.72x = 9,703.72 × 4,048.14
  4. Step 4: Simplify right side
    7,031.72x = 39,282,017.08
  5. Step 5: Solve for x
    x = 39,282,017.08/7,031.72
  6. Step 6: Final answer
    x = 5,586.40

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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.