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Finding the Fourth Proportional to 7,802.60, 11,688.66 and 7,404.08

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Solution

The fourth proportional to 7,802.60, 11,688.66 and 7,404.08 is: 11,091.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,802.60 : 11,688.66 = 7,404.08 : x
  2. Step 2: Convert to fraction form
    7,802.60/11,688.66 = 7,404.08/x
  3. Step 3: Cross multiply
    7,802.60x = 11,688.66 × 7,404.08
  4. Step 4: Simplify right side
    7,802.60x = 86,543,715.29
  5. Step 5: Solve for x
    x = 86,543,715.29/7,802.60
  6. Step 6: Final answer
    x = 11,091.66

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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.