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Finding the Fourth Proportional to 10,005.60, 15,026.16 and 9,495.12

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Solution

The fourth proportional to 10,005.60, 15,026.16 and 9,495.12 is: 14,259.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,005.60 : 15,026.16 = 9,495.12 : x
  2. Step 2: Convert to fraction form
    10,005.60/15,026.16 = 9,495.12/x
  3. Step 3: Cross multiply
    10,005.60x = 15,026.16 × 9,495.12
  4. Step 4: Simplify right side
    10,005.60x = 142,675,192.34
  5. Step 5: Solve for x
    x = 142,675,192.34/10,005.60
  6. Step 6: Final answer
    x = 14,259.53

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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.