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Finding the Fourth Proportional to 11,303, 15,598.14 and 6,587.28

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Solution

The fourth proportional to 11,303, 15,598.14 and 6,587.28 is: 9,090.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,303 : 15,598.14 = 6,587.28 : x
  2. Step 2: Convert to fraction form
    11,303/15,598.14 = 6,587.28/x
  3. Step 3: Cross multiply
    11,303x = 15,598.14 × 6,587.28
  4. Step 4: Simplify right side
    11,303x = 102,749,315.66
  5. Step 5: Solve for x
    x = 102,749,315.66/11,303
  6. Step 6: Final answer
    x = 9,090.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.