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Finding the Fourth Proportional to 7,802.10, 11,703.15 and 4,302.90

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Solution

The fourth proportional to 7,802.10, 11,703.15 and 4,302.90 is: 6,454.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,802.10 : 11,703.15 = 4,302.90 : x
  2. Step 2: Convert to fraction form
    7,802.10/11,703.15 = 4,302.90/x
  3. Step 3: Cross multiply
    7,802.10x = 11,703.15 × 4,302.90
  4. Step 4: Simplify right side
    7,802.10x = 50,357,484.14
  5. Step 5: Solve for x
    x = 50,357,484.14/7,802.10
  6. Step 6: Final answer
    x = 6,454.35

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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.