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Finding the Fourth Proportional to 9,802.30, 14,703.45 and 5,904.70

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Solution

The fourth proportional to 9,802.30, 14,703.45 and 5,904.70 is: 8,857.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,802.30 : 14,703.45 = 5,904.70 : x
  2. Step 2: Convert to fraction form
    9,802.30/14,703.45 = 5,904.70/x
  3. Step 3: Cross multiply
    9,802.30x = 14,703.45 × 5,904.70
  4. Step 4: Simplify right side
    9,802.30x = 86,819,461.22
  5. Step 5: Solve for x
    x = 86,819,461.22/9,802.30
  6. Step 6: Final answer
    x = 8,857.05

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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.