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Finding the Fourth Proportional to 8,985.96, 13,478.94 and 4,365

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Solution

The fourth proportional to 8,985.96, 13,478.94 and 4,365 is: 6,547.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,985.96 : 13,478.94 = 4,365 : x
  2. Step 2: Convert to fraction form
    8,985.96/13,478.94 = 4,365/x
  3. Step 3: Cross multiply
    8,985.96x = 13,478.94 × 4,365
  4. Step 4: Simplify right side
    8,985.96x = 58,835,573.10
  5. Step 5: Solve for x
    x = 58,835,573.10/8,985.96
  6. Step 6: Final answer
    x = 6,547.50

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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.