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Finding the Fourth Proportional to 12,547.53, 17,306.53 and 10,656.14

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Solution

The fourth proportional to 12,547.53, 17,306.53 and 10,656.14 is: 14,697.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,547.53 : 17,306.53 = 10,656.14 : x
  2. Step 2: Convert to fraction form
    12,547.53/17,306.53 = 10,656.14/x
  3. Step 3: Cross multiply
    12,547.53x = 17,306.53 × 10,656.14
  4. Step 4: Simplify right side
    12,547.53x = 184,420,693.42
  5. Step 5: Solve for x
    x = 184,420,693.42/12,547.53
  6. Step 6: Final answer
    x = 14,697.77

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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.